2515400960 has 72 divisors (see below), whose sum is σ = 6085139256. Its totient is φ = 996147200.

The previous prime is 2515400959. The next prime is 2515400969. The reversal of 2515400960 is 690045152.

It is a happy number.

2515400960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1252593664 + 1262807296 = 35392^2 + 35536^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2515400969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119552 + ... + 139008.

It is an arithmetic number, because the mean of its divisors is an integer number (84515823).

Almost surely, 2^2515400960 is an apocalyptic number.

2515400960 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 2515400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042569628).

2515400960 is an abundant number, since it is smaller than the sum of its proper divisors (3569738296).

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

2515400960 is a wasteful number, since it uses less digits than its factorization.

2515400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19579 (or 19565 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 2515400960 is about 50153.7731382196. The cubic root of 2515400960 is about 1359.9900806658.

The spelling of 2515400960 in words is "two billion, five hundred fifteen million, four hundred thousand, nine hundred sixty".