2515441920 has 288 divisors, whose sum is σ = 8830080000. Its totient is φ = 607444992.

The previous prime is 2515441913. The next prime is 2515441937. The reversal of 2515441920 is 291445152.

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, 1677331 + ... + 1678829.

It is an arithmetic number, because the mean of its divisors is an integer number (30660000).

Almost surely, 2^2515441920 is an apocalyptic number.

2515441920 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 2515441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415040000).

2515441920 is an abundant number, since it is smaller than the sum of its proper divisors (6314638080).

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

2515441920 is a wasteful number, since it uses less digits than its factorization.

2515441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 2515441920 is about 50154.1814807101. The cubic root of 2515441920 is about 1359.9974625097.

The spelling of 2515441920 in words is "two billion, five hundred fifteen million, four hundred forty-one thousand, nine hundred twenty".