2345720292864 has 480 divisors, whose sum is σ = 7632279502848. Its totient is φ = 688601088000.

The previous prime is 2345720292857. The next prime is 2345720292869. The reversal of 2345720292864 is 4682920275432.

2345720292864 is a `hidden beast` number, since 2 + 3 + 4 + 572 + 0 + 2 + 9 + 2 + 8 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2345720292864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345720292869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131839809 + ... + 131857599.

Almost surely, 2^{2345720292864} is an apocalyptic number.

2345720292864 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 2345720292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816139751424).

2345720292864 is an abundant number, since it is smaller than the sum of its proper divisors (5286559209984).

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

2345720292864 is a wasteful number, since it uses less digits than its factorization.

2345720292864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17930 (or 17911 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2345720292864 in words is "two trillion, three hundred forty-five billion, seven hundred twenty million, two hundred ninety-two thousand, eight hundred sixty-four".