2714342400 has 1320 divisors, whose sum is σ = 13268097216. Its totient is φ = 530841600.

The previous prime is 2714342399. The next prime is 2714342431. The reversal of 2714342400 is 42434172.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 159667192 + ... + 159667208.

Almost surely, 2^2714342400 is an apocalyptic number.

2714342400 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 2714342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634048608).

2714342400 is an abundant number, since it is smaller than the sum of its proper divisors (10553754816).

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

2714342400 is a wasteful number, since it uses less digits than its factorization.

2714342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2714342400 is about 52099.3512435616. The cubic root of 2714342400 is about 1394.9379091337.

Adding to 2714342400 its reverse (42434172), we get a palindrome (2756776572).

The spelling of 2714342400 in words is "two billion, seven hundred fourteen million, three hundred forty-two thousand, four hundred".