2515941120 has 576 divisors, whose sum is σ = 10247602176. Its totient is φ = 510935040.

The previous prime is 2515941119. The next prime is 2515941167. The reversal of 2515941120 is 211495152.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19810497 + ... + 19810623.

It is an arithmetic number, because the mean of its divisors is an integer number (17790976).

Almost surely, 2^2515941120 is an apocalyptic number.

2515941120 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 2515941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123801088).

2515941120 is an abundant number, since it is smaller than the sum of its proper divisors (7731661056).

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

2515941120 is a wasteful number, since it uses less digits than its factorization.

2515941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 2515941120 is about 50159.1578876679. The cubic root of 2515941120 is about 1360.0874222926.

The spelling of 2515941120 in words is "two billion, five hundred fifteen million, nine hundred forty-one thousand, one hundred twenty".