2497400640 has 672 divisors, whose sum is σ = 10882823040. Its totient is φ = 535707648.

The previous prime is 2497400621. The next prime is 2497400669. The reversal of 2497400640 is 460047942.

2497400640 = 309³ + 310³ + ... + 371³.

2497400640 is a `hidden beast` number, since 2 + 4 + 9 + 7 + 4 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 2497400595 and 2497400604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7196947 + ... + 7197293.

Almost surely, 2^2497400640 is an apocalyptic number.

2497400640 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 2497400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441411520).

2497400640 is an abundant number, since it is smaller than the sum of its proper divisors (8385422400).

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

2497400640 is a wasteful number, since it uses less digits than its factorization.

2497400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2497400640 is about 49973.9996398127. Note that the first 3 decimals coincide. The cubic root of 2497400640 is about 1356.7382619388.

Adding to 2497400640 its sum of digits (36), we get a square (2497400676 = 49974²).

The spelling of 2497400640 in words is "two billion, four hundred ninety-seven million, four hundred thousand, six hundred forty".