2014067400 has 96 divisors (see below), whose sum is σ = 6458961600. Its totient is φ = 518560000.

The previous prime is 2014067399. The next prime is 2014067441. The reversal of 2014067400 is 47604102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 40476 + ... + 75275.

It is an arithmetic number, because the mean of its divisors is an integer number (67280850).

Almost surely, 2^2014067400 is an apocalyptic number.

2014067400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014067400 is an abundant number, since it is smaller than the sum of its proper divisors (4444894200).

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

2014067400 is a wasteful number, since it uses less digits than its factorization.

2014067400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115799 (or 115790 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2014067400 is about 44878.3622695838. The cubic root of 2014067400 is about 1262.8681199511.

The spelling of 2014067400 in words is "two billion, fourteen million, sixty-seven thousand, four hundred".