2515969920 has 256 divisors, whose sum is σ = 8488488960. Its totient is φ = 632832000.

The previous prime is 2515969913. The next prime is 2515969933. The reversal of 2515969920 is 299695152.

It is a happy number.

2515969920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2515969920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2439805 + ... + 2440835.

It is an arithmetic number, because the mean of its divisors is an integer number (33158160).

Almost surely, 2^2515969920 is an apocalyptic number.

2515969920 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 2515969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244244480).

2515969920 is an abundant number, since it is smaller than the sum of its proper divisors (5972519040).

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

2515969920 is a wasteful number, since it uses less digits than its factorization.

2515969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The square root of 2515969920 is about 50159.4449730058. Note that the first 3 decimals coincide. The cubic root of 2515969920 is about 1360.0926119170.

The spelling of 2515969920 in words is "two billion, five hundred fifteen million, nine hundred sixty-nine thousand, nine hundred twenty".