2352420864 has 288 divisors, whose sum is σ = 7359206400. Its totient is φ = 721797120.

The previous prime is 2352420859. The next prime is 2352420881. The reversal of 2352420864 is 4680242532.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 13141927 + ... + 13142105.

It is an arithmetic number, because the mean of its divisors is an integer number (25552800).

Almost surely, 2^2352420864 is an apocalyptic number.

2352420864 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 2352420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679603200).

2352420864 is an abundant number, since it is smaller than the sum of its proper divisors (5006785536).

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

2352420864 is a wasteful number, since it uses less digits than its factorization.

2352420864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2352420864 is about 48501.7614525493. The cubic root of 2352420864 is about 1329.9592698628.

The spelling of 2352420864 in words is "two billion, three hundred fifty-two million, four hundred twenty thousand, eight hundred sixty-four".