2523012480 has 192 divisors, whose sum is σ = 8783424000. Its totient is φ = 667312128.

The previous prime is 2523012467. The next prime is 2523012511. The reversal of 2523012480 is 842103252.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729796 + ... + 733244.

It is an arithmetic number, because the mean of its divisors is an integer number (45747000).

Almost surely, 2^2523012480 is an apocalyptic number.

2523012480 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 2523012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391712000).

2523012480 is an abundant number, since it is smaller than the sum of its proper divisors (6260411520).

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

2523012480 is a wasteful number, since it uses less digits than its factorization.

2523012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2523012480 is about 50229.5976491948. The cubic root of 2523012480 is about 1361.3604610001.

The spelling of 2523012480 in words is "two billion, five hundred twenty-three million, twelve thousand, four hundred eighty".