2523709440 has 480 divisors, whose sum is σ = 10317672960. Its totient is φ = 573308928.

The previous prime is 2523709439. The next prime is 2523709453. The reversal of 2523709440 is 449073252.

2523709440 is a `hidden beast` number, since 2 + 523 + 7 + 0 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2523709440² = 12738218675090227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2523709395 and 2523709404.

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, 15482799 + ... + 15482961.

It is an arithmetic number, because the mean of its divisors is an integer number (21495152).

Almost surely, 2^2523709440 is an apocalyptic number.

2523709440 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 2523709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158836480).

2523709440 is an abundant number, since it is smaller than the sum of its proper divisors (7793963520).

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

2523709440 is an equidigital number, since it uses as much as digits as its factorization.

2523709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2523709440 is about 50236.5349123524. The cubic root of 2523709440 is about 1361.4858040758.

The spelling of 2523709440 in words is "two billion, five hundred twenty-three million, seven hundred nine thousand, four hundred forty".