2523414720 has 112 divisors (see below), whose sum is σ = 8483181408. Its totient is φ = 633323520.

The previous prime is 2523414701. The next prime is 2523414727. The reversal of 2523414720 is 274143252.

It is a super-3 number, since 3×2523414720³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (2523414727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60991 + ... + 93630.

Almost surely, 2^2523414720 is an apocalyptic number.

2523414720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2523414720 is an abundant number, since it is smaller than the sum of its proper divisors (5959766688).

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

2523414720 is a wasteful number, since it uses less digits than its factorization.

2523414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154658 (or 154648 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2523414720 is about 50233.6015033762. The cubic root of 2523414720 is about 1361.4328036907.

Adding to 2523414720 its reverse (274143252), we get a palindrome (2797557972).

The spelling of 2523414720 in words is "two billion, five hundred twenty-three million, four hundred fourteen thousand, seven hundred twenty".