2505078576 has 400 divisors, whose sum is σ = 9739876608. Its totient is φ = 600307200.

The previous prime is 2505078533. The next prime is 2505078577. The reversal of 2505078576 is 6758705052.

2505078576 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 0 + 78 + 576 = 666.

It is not an unprimeable number, because it can be changed into a prime (2505078577) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1296331 + ... + 1298261.

Almost surely, 2^2505078576 is an apocalyptic number.

2505078576 is a gapful number since it is divisible by the number (26) 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 2505078576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869938304).

2505078576 is an abundant number, since it is smaller than the sum of its proper divisors (7234798032).

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

2505078576 is a wasteful number, since it uses less digits than its factorization.

2505078576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 2505078576 is about 50050.7599942299. The cubic root of 2505078576 is about 1358.1272117644.

The spelling of 2505078576 in words is "two billion, five hundred five million, seventy-eight thousand, five hundred seventy-six".