2495001600 has 1188 divisors, whose sum is σ = 11849452524. Its totient is φ = 495452160.

The previous prime is 2495001589. The next prime is 2495001623. The reversal of 2495001600 is 61005942.

2495001600 is a `hidden beast` number, since 2 + 4 + 9 + 50 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 88510464 + 2406491136 = 9408^2 + 49056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 146764792 + ... + 146764808.

Almost surely, 2^2495001600 is an apocalyptic number.

2495001600 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 2495001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924726262).

2495001600 is an abundant number, since it is smaller than the sum of its proper divisors (9354450924).

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

2495001600 is a wasteful number, since it uses less digits than its factorization.

2495001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2495001600 is about 49949.9909909902. The cubic root of 2495001600 is about 1356.3036884747.

The spelling of 2495001600 in words is "two billion, four hundred ninety-five million, one thousand, six hundred".