2523200064 has 224 divisors, whose sum is σ = 8409163776. Its totient is φ = 648622080.

The previous prime is 2523200047. The next prime is 2523200087. The reversal of 2523200064 is 4600023252.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1521924 + ... + 1523580.

Almost surely, 2^2523200064 is an apocalyptic number.

2523200064 is a gapful number since it is divisible by the number (24) 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 2523200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204581888).

2523200064 is an abundant number, since it is smaller than the sum of its proper divisors (5885963712).

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

2523200064 is a wasteful number, since it uses less digits than its factorization.

2523200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2523200064 is about 50231.4648800928. The cubic root of 2523200064 is about 1361.3941988583.

The spelling of 2523200064 in words is "two billion, five hundred twenty-three million, two hundred thousand, sixty-four".