2521013440 has 112 divisors (see below), whose sum is σ = 6833859840. Its totient is φ = 876846080.

The previous prime is 2521013437. The next prime is 2521013447. The reversal of 2521013440 is 443101252.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2521013447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65391 + ... + 96529.

Almost surely, 2^2521013440 is an apocalyptic number.

2521013440 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 2521013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416929920).

2521013440 is an abundant number, since it is smaller than the sum of its proper divisors (4312846400).

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

2521013440 is a wasteful number, since it uses less digits than its factorization.

2521013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31190 (or 31180 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2521013440 is about 50209.6946814059. The cubic root of 2521013440 is about 1361.0008204117. Note that the first 3 decimals are identical.

Adding to 2521013440 its reverse (443101252), we get a palindrome (2964114692).

The spelling of 2521013440 in words is "two billion, five hundred twenty-one million, thirteen thousand, four hundred forty".