2713200 has 240 divisors, whose sum is σ = 11070720. Its totient is φ = 552960.

The previous prime is 2713189. The next prime is 2713223. The reversal of 2713200 is 23172.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2713200² = 14722908480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2713200.

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, 142791 + ... + 142809.

It is an arithmetic number, because the mean of its divisors is an integer number (46128).

2^2713200 is an apocalyptic number.

2713200 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 2713200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535360).

2713200 is an abundant number, since it is smaller than the sum of its proper divisors (8357520).

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

2713200 is a wasteful number, since it uses less digits than its factorization.

2713200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 2713200 is about 1647.1794073506. The cubic root of 2713200 is about 139.4742183313.

Adding to 2713200 its reverse (23172), we get a palindrome (2736372).

The spelling of 2713200 in words is "two million, seven hundred thirteen thousand, two hundred".