2314070881920 has 896 divisors, whose sum is σ = 9600282432000. Its totient is φ = 522176937984.

The previous prime is 2314070881907. The next prime is 2314070881931. The reversal of 2314070881920 is 291880704132.

It is a happy number.

2314070881920 is a `hidden beast` number, since 2 + 314 + 0 + 70 + 88 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 258003196 + ... + 258012164.

Almost surely, 2^{2314070881920} is an apocalyptic number.

2314070881920 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 2314070881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800141216000).

2314070881920 is an abundant number, since it is smaller than the sum of its proper divisors (7286211550080).

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

2314070881920 is an frugal number, since it uses more digits than its factorization.

2314070881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9092 (or 9065 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2314070881920 in words is "two trillion, three hundred fourteen billion, seventy million, eight hundred eighty-one thousand, nine hundred twenty".