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2492180000 = 25543532
BaseRepresentation
bin1001010010001011…
…1010011000100000
320102200110212020222
42110202322120200
520100444230000
61051144022212
7115521115622
oct22442723040
96380425228
102492180000
1110698527a2
12596761968
13309421c2b
14198db6c12
15e8bd3a85
hex948ba620

2492180000 has 90 divisors (see below), whose sum is σ = 6148554489. Its totient is φ = 994048000.

The previous prime is 2492179997. The next prime is 2492180021. The reversal of 2492180000 is 812942.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 339591184 + 2152588816 = 18428^2 + 46396^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=35300.

It is a super-2 number, since 2×24921800002 = 12421922304800000000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7059824 + ... + 7060176.

Almost surely, 22492180000 is an apocalyptic number.

2492180000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2492180000

2492180000 is an abundant number, since it is smaller than the sum of its proper divisors (3656374489).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2492180000 is an frugal number, since it uses more digits than its factorization.

2492180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 2492180000 is about 49921.7387517703. The cubic root of 2492180000 is about 1355.7922138492.

Multiplying 2492180000 by its product of nonzero digits (1152), we get a square (2870991360000 = 16944002).

Adding to 2492180000 its reverse (812942), we get a palindrome (2492992942).

The spelling of 2492180000 in words is "two billion, four hundred ninety-two million, one hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 353 400 500 625 706 800 1000 1250 1412 1765 2000 2500 2824 3530 4000 5000 5648 7060 8825 10000 11296 14120 17650 20000 28240 35300 44125 56480 70600 88250 124609 141200 176500 220625 249218 282400 353000 441250 498436 623045 706000 882500 996872 1246090 1412000 1765000 1993744 2492180 3115225 3530000 3987488 4984360 6230450 7060000 9968720 12460900 15576125 19937440 24921800 31152250 49843600 62304500 77880625 99687200 124609000 155761250 249218000 311522500 498436000 623045000 1246090000 2492180000