2500406496 has 180 divisors, whose sum is σ = 8554652568. Its totient is φ = 714365568.

The previous prime is 2500406459. The next prime is 2500406497. The reversal of 2500406496 is 6946040052.

2500406496 is a `hidden beast` number, since 2 + 5 + 0 + 0 + 4 + 0 + 649 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2500406496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500406497) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 117165 + ... + 136851.

Almost surely, 2^2500406496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2500406496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277326284).

2500406496 is an abundant number, since it is smaller than the sum of its proper divisors (6054246072).

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

2500406496 is a wasteful number, since it uses less digits than its factorization.

2500406496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19723 (or 19699 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2500406496 is about 50004.0647947744. The cubic root of 2500406496 is about 1357.2823643045.

The spelling of 2500406496 in words is "two billion, five hundred million, four hundred six thousand, four hundred ninety-six".