2314987920 has 480 divisors, whose sum is σ = 9651882240. Its totient is φ = 485130240.

The previous prime is 2314987841. The next prime is 2314987921. The reversal of 2314987920 is 297894132.

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

It is not an unprimeable number, because it can be changed into a prime (2314987921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3512551 + ... + 3513209.

It is an arithmetic number, because the mean of its divisors is an integer number (20108088).

Almost surely, 2^2314987920 is an apocalyptic number.

2314987920 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 2314987920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825941120).

2314987920 is an abundant number, since it is smaller than the sum of its proper divisors (7336894320).

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

2314987920 is a wasteful number, since it uses less digits than its factorization.

2314987920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2314987920 is about 48114.3213606926. The cubic root of 2314987920 is about 1322.8671836339.

The spelling of 2314987920 in words is "two billion, three hundred fourteen million, nine hundred eighty-seven thousand, nine hundred twenty".