2314040400 has 720 divisors, whose sum is σ = 10074355200. Its totient is φ = 498286080.

The previous prime is 2314040341. The next prime is 2314040431. The reversal of 2314040400 is 40404132.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12927511 + ... + 12927689.

It is an arithmetic number, because the mean of its divisors is an integer number (13992160).

Almost surely, 2^2314040400 is an apocalyptic number.

2314040400 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 2314040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037177600).

2314040400 is an abundant number, since it is smaller than the sum of its proper divisors (7760314800).

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

2314040400 is a wasteful number, since it uses less digits than its factorization.

2314040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2314040400 is about 48104.4738044186. The cubic root of 2314040400 is about 1322.6866766930.

Adding to 2314040400 its reverse (40404132), we get a palindrome (2354444532).

The spelling of 2314040400 in words is "two billion, three hundred fourteen million, forty thousand, four hundred".