2496945960 has 128 divisors (see below), whose sum is σ = 8383536000. Its totient is φ = 661022208.

The previous prime is 2496945959. The next prime is 2496945989. The reversal of 2496945960 is 695496942.

It is a happy number.

2496945960 is a `hidden beast` number, since 2 + 49 + 6 + 9 + 4 + 596 + 0 = 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 = 2496945897 and 2496945906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141804 + ... + 158436.

It is an arithmetic number, because the mean of its divisors is an integer number (65496375).

Almost surely, 2^2496945960 is an apocalyptic number.

2496945960 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 2496945960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191768000).

2496945960 is an abundant number, since it is smaller than the sum of its proper divisors (5886590040).

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

2496945960 is a wasteful number, since it uses less digits than its factorization.

2496945960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16792 (or 16782 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 2496945960 is about 49969.4502671382. The cubic root of 2496945960 is about 1356.6559204322.

The spelling of 2496945960 in words is "two billion, four hundred ninety-six million, nine hundred forty-five thousand, nine hundred sixty".