2516400 has 120 divisors (see below), whose sum is σ = 8994960. Its totient is φ = 668160.

The previous prime is 2516377. The next prime is 2516401. The reversal of 2516400 is 46152.

It is a happy number.

2516400 is a `hidden beast` number, since 25 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is not an unprimeable number, because it can be changed into a prime (2516401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10684 + ... + 10916.

It is an arithmetic number, because the mean of its divisors is an integer number (74958).

2^2516400 is an apocalyptic number.

2516400 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 2516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497480).

2516400 is an abundant number, since it is smaller than the sum of its proper divisors (6478560).

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

2516400 is a wasteful number, since it uses less digits than its factorization.

2516400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2516400 is about 1586.3164879683. The cubic root of 2516400 is about 136.0170105597.

It can be divided in two parts, 2516 and 400, that added together give a square (2916 = 54²).

The spelling of 2516400 in words is "two million, five hundred sixteen thousand, four hundred".