2531400 has 48 divisors (see below), whose sum is σ = 7849200. Its totient is φ = 674880.

The previous prime is 2531393. The next prime is 2531413. The reversal of 2531400 is 41352.

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

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 2531400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1510 + ... + 2709.

It is an arithmetic number, because the mean of its divisors is an integer number (163525).

2^2531400 is an apocalyptic number.

2531400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2531400 is an abundant number, since it is smaller than the sum of its proper divisors (5317800).

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

2531400 is a wasteful number, since it uses less digits than its factorization.

2531400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2531400 is about 1591.0373974235. The cubic root of 2531400 is about 136.2867364397.

Adding to 2531400 its reverse (41352), we get a palindrome (2572752).

It can be divided in two parts, 253 and 1400, that added together give a triangular number (1653 = T₅₇).

The spelling of 2531400 in words is "two million, five hundred thirty-one thousand, four hundred".