2502084 has 48 divisors (see below), whose sum is σ = 6450752. Its totient is φ = 749952.

The previous prime is 2502083. The next prime is 2502089. The reversal of 2502084 is 4802052.

It is a self number, because there is not a number n which added to its sum of digits gives 2502084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6522 + ... + 6894.

2^2502084 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 2502084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225376).

2502084 is an abundant number, since it is smaller than the sum of its proper divisors (3948668).

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

2502084 is a wasteful number, since it uses less digits than its factorization.

2502084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2502084 is about 1581.7977114663. The cubic root of 2502084 is about 135.7585826644.

Adding to 2502084 its product of nonzero digits (640), we get a square (2502724 = 1582²).

Subtracting 2502084 from its reverse (4802052), we obtain a cube (2299968 = 132³).

The spelling of 2502084 in words is "two million, five hundred two thousand, eighty-four".