2502696960 has 448 divisors, whose sum is σ = 9310786560. Its totient is φ = 637009920.

The previous prime is 2502696731. The next prime is 2502696971. The reversal of 2502696960 is 696962052.

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 31 ways as a sum of consecutive naturals, for example, 34283484 + ... + 34283556.

Almost surely, 2^2502696960 is an apocalyptic number.

2502696960 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 2502696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655393280).

2502696960 is an abundant number, since it is smaller than the sum of its proper divisors (6808089600).

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

2502696960 is an equidigital number, since it uses as much as digits as its factorization.

2502696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2502696960 is about 50026.9623303274. The cubic root of 2502696960 is about 1357.6966779532.

The spelling of 2502696960 in words is "two billion, five hundred two million, six hundred ninety-six thousand, nine hundred sixty".