2353639680 has 864 divisors, whose sum is σ = 10285277184. Its totient is φ = 503635968.

The previous prime is 2353639661. The next prime is 2353639693. The reversal of 2353639680 is 869363532.

2353639680 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 639 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50077417 + ... + 50077463.

It is an arithmetic number, because the mean of its divisors is an integer number (11904256).

Almost surely, 2^2353639680 is an apocalyptic number.

2353639680 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 2353639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142638592).

2353639680 is an abundant number, since it is smaller than the sum of its proper divisors (7931637504).

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

2353639680 is an equidigital number, since it uses as much as digits as its factorization.

2353639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 2353639680 is about 48514.3244825691. The cubic root of 2353639680 is about 1330.1889192131.

The spelling of 2353639680 in words is "two billion, three hundred fifty-three million, six hundred thirty-nine thousand, six hundred eighty".