2501940000 has 720 divisors, whose sum is σ = 10231075008. Its totient is φ = 532224000.

The previous prime is 2501939933. The next prime is 2501940029. The reversal of 2501940000 is 491052.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67619982 + ... + 67620018.

Almost surely, 2^2501940000 is an apocalyptic number.

2501940000 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 2501940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115537504).

2501940000 is an abundant number, since it is smaller than the sum of its proper divisors (7729135008).

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

2501940000 is a wasteful number, since it uses less digits than its factorization.

2501940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2501940000 is about 50019.3962378596. The cubic root of 2501940000 is about 1357.5597822063.

The spelling of 2501940000 in words is "two billion, five hundred one million, nine hundred forty thousand".