2505104496 has 240 divisors, whose sum is σ = 7780002048. Its totient is φ = 777600000.

The previous prime is 2505104491. The next prime is 2505104557. The reversal of 2505104496 is 6944015052.

2505104496 is a `hidden beast` number, since 2 + 50 + 510 + 4 + 4 + 96 = 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 2505104496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505104491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9980371 + ... + 9980621.

Almost surely, 2^2505104496 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 2505104496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890001024).

2505104496 is an abundant number, since it is smaller than the sum of its proper divisors (5274897552).

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

2505104496 is a wasteful number, since it uses less digits than its factorization.

2505104496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2505104496 is about 50051.0189306871. The cubic root of 2505104496 is about 1358.1318959204.

The spelling of 2505104496 in words is "two billion, five hundred five million, one hundred four thousand, four hundred ninety-six".