2814390624 has 48 divisors (see below), whose sum is σ = 7513007040. Its totient is φ = 922227840.

The previous prime is 2814390581. The next prime is 2814390629. The reversal of 2814390624 is 4260934182.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2814390629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242782 + ... + 254109.

It is an arithmetic number, because the mean of its divisors is an integer number (156520980).

Almost surely, 2^2814390624 is an apocalyptic number.

2814390624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2814390624 is an abundant number, since it is smaller than the sum of its proper divisors (4698616416).

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

2814390624 is a wasteful number, since it uses less digits than its factorization.

2814390624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496963 (or 496955 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2814390624 is about 53050.8305684275. The cubic root of 2814390624 is about 1411.8702649731.

The spelling of 2814390624 in words is "two billion, eight hundred fourteen million, three hundred ninety thousand, six hundred twenty-four".