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2497098240 = 29335713397
BaseRepresentation
bin1001010011010110…
…1011001000000000
320110000201201211000
42110311223020000
520103224120430
61051441252000
7115610661540
oct22465531000
96400651730
102497098240
11107160195a
12598334000
1330a454730
141998d7320
15e9355e60
hex94d6b200

2497098240 has 640 divisors, whose sum is σ = 10944299520. Its totient is φ = 525533184.

The previous prime is 2497098181. The next prime is 2497098251. The reversal of 2497098240 is 428907942.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×24970982402 = 12470999240422195200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6289722 + ... + 6290118.

It is an arithmetic number, because the mean of its divisors is an integer number (17100468).

Almost surely, 22497098240 is an apocalyptic number.

2497098240 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 2497098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472149760).

2497098240 is an abundant number, since it is smaller than the sum of its proper divisors (8447201280).

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

2497098240 is a wasteful number, since it uses less digits than its factorization.

2497098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2497098240 is about 49970.9739748987. The cubic root of 2497098240 is about 1356.6834991046.

The spelling of 2497098240 in words is "two billion, four hundred ninety-seven million, ninety-eight thousand, two hundred forty".