2014338400 has 72 divisors (see below), whose sum is σ = 4953667320. Its totient is φ = 799810560.

The previous prime is 2014338379. The next prime is 2014338407. The reversal of 2014338400 is 48334102.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014338407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100411 + ... + 118789.

It is an arithmetic number, because the mean of its divisors is an integer number (68800935).

Almost surely, 2^2014338400 is an apocalyptic number.

2014338400 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 2014338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476833660).

2014338400 is an abundant number, since it is smaller than the sum of its proper divisors (2939328920).

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

2014338400 is a wasteful number, since it uses less digits than its factorization.

2014338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18536 (or 18523 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2014338400 is about 44881.3814404147. The cubic root of 2014338400 is about 1262.9247585574.

The spelling of 2014338400 in words is "two billion, fourteen million, three hundred thirty-eight thousand, four hundred".