2505996792 has 384 divisors, whose sum is σ = 8475667200. Its totient is φ = 685283328.

The previous prime is 2505996781. The next prime is 2505996797. The reversal of 2505996792 is 2976995052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505996797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8162703 + ... + 8163009.

It is an arithmetic number, because the mean of its divisors is an integer number (22072050).

Almost surely, 2^2505996792 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 2505996792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237833600).

2505996792 is an abundant number, since it is smaller than the sum of its proper divisors (5969670408).

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

2505996792 is a wasteful number, since it uses less digits than its factorization.

2505996792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 2505996792 is about 50059.9320015519. The cubic root of 2505996792 is about 1358.2931282900.

The spelling of 2505996792 in words is "two billion, five hundred five million, nine hundred ninety-six thousand, seven hundred ninety-two".