2352080640 has 576 divisors, whose sum is σ = 9494102016. Its totient is φ = 483065856.

The previous prime is 2352080629. The next prime is 2352080657. The reversal of 2352080640 is 460802532.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2352080598 and 2352080607.

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, 18520257 + ... + 18520383.

It is an arithmetic number, because the mean of its divisors is an integer number (16482816).

Almost surely, 2^2352080640 is an apocalyptic number.

2352080640 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 2352080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747051008).

2352080640 is an abundant number, since it is smaller than the sum of its proper divisors (7142021376).

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

2352080640 is a wasteful number, since it uses less digits than its factorization.

2352080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2352080640 is about 48498.2539891902. The cubic root of 2352080640 is about 1329.8951506845.

The spelling of 2352080640 in words is "two billion, three hundred fifty-two million, eighty thousand, six hundred forty".