2314984400 has 60 divisors (see below), whose sum is σ = 5632228800. Its totient is φ = 914259840.

The previous prime is 2314984393. The next prime is 2314984433. The reversal of 2314984400 is 44894132.

2314984400 = T₇₆₁₆ + T₇₆₁₇ + ... + T₇₆₉₄.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5030 + ... + 68229.

It is an arithmetic number, because the mean of its divisors is an integer number (93870480).

Almost surely, 2^2314984400 is an apocalyptic number.

2314984400 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 2314984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816114400).

2314984400 is an abundant number, since it is smaller than the sum of its proper divisors (3317244400).

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

2314984400 is a wasteful number, since it uses less digits than its factorization.

2314984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73356 (or 73345 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2314984400 is about 48114.2847811333. The cubic root of 2314984400 is about 1322.8665131488.

The spelling of 2314984400 in words is "two billion, three hundred fourteen million, nine hundred eighty-four thousand, four hundred".