2314478400 has 336 divisors, whose sum is σ = 8466124800. Its totient is φ = 549642240.

The previous prime is 2314478399. The next prime is 2314478443. The reversal of 2314478400 is 48744132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1808961 + ... + 1810239.

It is an arithmetic number, because the mean of its divisors is an integer number (25196800).

Almost surely, 2^2314478400 is an apocalyptic number.

2314478400 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 2314478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233062400).

2314478400 is an abundant number, since it is smaller than the sum of its proper divisors (6151646400).

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

2314478400 is a wasteful number, since it uses less digits than its factorization.

2314478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2314478400 is about 48109.0261801255. The cubic root of 2314478400 is about 1322.7701238411.

The spelling of 2314478400 in words is "two billion, three hundred fourteen million, four hundred seventy-eight thousand, four hundred".