2537892 has 72 divisors (see below), whose sum is σ = 7623616. Its totient is φ = 723168.

The previous prime is 2537881. The next prime is 2537897. The reversal of 2537892 is 2987352.

It is a happy number.

2537892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2537897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6618 + ... + 6990.

2^2537892 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 2537892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811808).

2537892 is an abundant number, since it is smaller than the sum of its proper divisors (5085724).

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

2537892 is a wasteful number, since it uses less digits than its factorization.

2537892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2537892 is about 1593.0762693606. The cubic root of 2537892 is about 136.4031434620.

The spelling of 2537892 in words is "two million, five hundred thirty-seven thousand, eight hundred ninety-two".