2497944960 has 512 divisors, whose sum is σ = 10258099200. Its totient is φ = 562692096.

The previous prime is 2497944959. The next prime is 2497944971. The reversal of 2497944960 is 694497942.

2497944960 is a `hidden beast` number, since 2 + 497 + 94 + 4 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2497944897 and 2497944906.

It is a congruent number.

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, 12942624 + ... + 12942816.

It is an arithmetic number, because the mean of its divisors is an integer number (20035350).

Almost surely, 2^2497944960 is an apocalyptic number.

2497944960 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 2497944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129049600).

2497944960 is an abundant number, since it is smaller than the sum of its proper divisors (7760154240).

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

2497944960 is a wasteful number, since it uses less digits than its factorization.

2497944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 2497944960 is about 49979.4453750739. The cubic root of 2497944960 is about 1356.8368239012.

The spelling of 2497944960 in words is "two billion, four hundred ninety-seven million, nine hundred forty-four thousand, nine hundred sixty".