2492640 has 96 divisors (see below), whose sum is σ = 8739360. Its totient is φ = 663552.

The previous prime is 2492603. The next prime is 2492657. The reversal of 2492640 is 462942.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4032 + ... + 4608.

It is an arithmetic number, because the mean of its divisors is an integer number (91035).

2^2492640 is an apocalyptic number.

2492640 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 2492640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369680).

2492640 is an abundant number, since it is smaller than the sum of its proper divisors (6246720).

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

2492640 is a wasteful number, since it uses less digits than its factorization.

2492640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2492640 is about 1578.8096782070. The cubic root of 2492640 is about 135.5875624899.

The spelling of 2492640 in words is "two million, four hundred ninety-two thousand, six hundred forty".