2492672 has 72 divisors (see below), whose sum is σ = 6181056. Its totient is φ = 976896.

The previous prime is 2492657. The next prime is 2492701. The reversal of 2492672 is 2762942.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁵ + 4⁸ + 9⁵ + 2¹⁷ + 6⁸ + 7³ + 2¹⁹ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23243 + ... + 23349.

It is an arithmetic number, because the mean of its divisors is an integer number (85848).

2^2492672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2492672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090528).

2492672 is an abundant number, since it is smaller than the sum of its proper divisors (3688384).

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

2492672 is a wasteful number, since it uses less digits than its factorization.

2492672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 2492672 is about 1578.8198123915. The cubic root of 2492672 is about 135.5881427025.

The spelling of 2492672 in words is "two million, four hundred ninety-two thousand, six hundred seventy-two".