2352928836480 has 512 divisors, whose sum is σ = 8155611878400. Its totient is φ = 575199313920.

The previous prime is 2352928836389. The next prime is 2352928836491. The reversal of 2352928836480 is 846388292532.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175440975 + ... + 175454385.

It is an arithmetic number, because the mean of its divisors is an integer number (15928929450).

Almost surely, 2^{2352928836480} is an apocalyptic number.

2352928836480 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 2352928836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077805939200).

2352928836480 is an abundant number, since it is smaller than the sum of its proper divisors (5802683041920).

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

2352928836480 is a wasteful number, since it uses less digits than its factorization.

2352928836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13622 (or 13610 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 2352928836480 in words is "two trillion, three hundred fifty-two billion, nine hundred twenty-eight million, eight hundred thirty-six thousand, four hundred eighty".