2347920000 has 320 divisors, whose sum is σ = 8667225600. Its totient is φ = 625536000.

The previous prime is 2347919941. The next prime is 2347920023. The reversal of 2347920000 is 297432.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2159457 + ... + 2160543.

It is an arithmetic number, because the mean of its divisors is an integer number (27085080).

Almost surely, 2^2347920000 is an apocalyptic number.

2347920000 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 2347920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333612800).

2347920000 is an abundant number, since it is smaller than the sum of its proper divisors (6319305600).

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

2347920000 is an equidigital number, since it uses as much as digits as its factorization.

2347920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2347920000 is about 48455.3402629679. The cubic root of 2347920000 is about 1329.1105289503.

The spelling of 2347920000 in words is "two billion, three hundred forty-seven million, nine hundred twenty thousand".