2314672640 has 160 divisors (see below), whose sum is σ = 6515904384. Its totient is φ = 771932160.

The previous prime is 2314672637. The next prime is 2314672649. The reversal of 2314672640 is 462764132.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2314672640.

It is not an unprimeable number, because it can be changed into a prime (2314672649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661295 + ... + 664785.

Almost surely, 2^2314672640 is an apocalyptic number.

2314672640 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 2314672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257952192).

2314672640 is an abundant number, since it is smaller than the sum of its proper divisors (4201231744).

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

2314672640 is an equidigital number, since it uses as much as digits as its factorization.

2314672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 2314672640 is about 48111.0448857640. The cubic root of 2314672640 is about 1322.8071268049.

The spelling of 2314672640 in words is "two billion, three hundred fourteen million, six hundred seventy-two thousand, six hundred forty".