2521633440 has 192 divisors, whose sum is σ = 8161534080. Its totient is φ = 654213120.

The previous prime is 2521633427. The next prime is 2521633463. The reversal of 2521633440 is 443361252.

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

It is a junction number, because it is equal to n+sod(n) for n = 2521633398 and 2521633407.

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, 2861800 + ... + 2862680.

It is an arithmetic number, because the mean of its divisors is an integer number (42507990).

Almost surely, 2^2521633440 is an apocalyptic number.

2521633440 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 2521633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080767040).

2521633440 is an abundant number, since it is smaller than the sum of its proper divisors (5639900640).

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

2521633440 is a wasteful number, since it uses less digits than its factorization.

2521633440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2521633440 is about 50215.8684083030. The cubic root of 2521633440 is about 1361.1123828664.

Adding to 2521633440 its reverse (443361252), we get a palindrome (2964994692).

The spelling of 2521633440 in words is "two billion, five hundred twenty-one million, six hundred thirty-three thousand, four hundred forty".