2521753440 has 192 divisors, whose sum is σ = 8081773056. Its totient is φ = 660897792.

The previous prime is 2521753439. The next prime is 2521753453. The reversal of 2521753440 is 443571252.

2521753440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 13065984 + ... + 13066176.

It is an arithmetic number, because the mean of its divisors is an integer number (42092568).

Almost surely, 2^2521753440 is an apocalyptic number.

2521753440 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 2521753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040886528).

2521753440 is an abundant number, since it is smaller than the sum of its proper divisors (5560019616).

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

2521753440 is a wasteful number, since it uses less digits than its factorization.

2521753440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 2521753440 is about 50217.0632355179. The cubic root of 2521753440 is about 1361.1339734874.

The spelling of 2521753440 in words is "two billion, five hundred twenty-one million, seven hundred fifty-three thousand, four hundred forty".