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2472498000 = 243353731211
BaseRepresentation
bin1001001101011111…
…0101001101010000
320101022102220122000
42103113311031100
520030424414000
61045202114000
7115161612660
oct22327651520
96338386560
102472498000
11105972a385
1259004b900
1330532048b
141965321a0
15e70e7000
hex935f5350

2472498000 has 640 divisors, whose sum is σ = 10498375680. Its totient is φ = 544320000.

The previous prime is 2472497983. The next prime is 2472498001. The reversal of 2472498000 is 8942742.

2472498000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24724980002 = 12226492720008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472498001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11717895 + ... + 11718105.

It is an arithmetic number, because the mean of its divisors is an integer number (16403712).

Almost surely, 22472498000 is an apocalyptic number.

2472498000 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 2472498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249187840).

2472498000 is an abundant number, since it is smaller than the sum of its proper divisors (8025877680).

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

2472498000 is a wasteful number, since it uses less digits than its factorization.

2472498000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2472498000 is about 49724.2194508873. The cubic root of 2472498000 is about 1352.2136521475.

The spelling of 2472498000 in words is "two billion, four hundred seventy-two million, four hundred ninety-eight thousand".