2521792 has 56 divisors (see below), whose sum is σ = 6173216. Its totient is φ = 995328.

The previous prime is 2521769. The next prime is 2521807. The reversal of 2521792 is 2971252.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 2³ + 5⁹ + 2¹¹ + 1 + 7⁴ + 9⁶ + 2¹⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 2521792.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5608 + ... + 6040.

It is an arithmetic number, because the mean of its divisors is an integer number (110236).

2^2521792 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 2521792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086608).

2521792 is an abundant number, since it is smaller than the sum of its proper divisors (3651424).

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

2521792 is a wasteful number, since it uses less digits than its factorization.

2521792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 455 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 2521792 is about 1588.0151132782. The cubic root of 2521792 is about 136.1140911128.

It can be divided in two parts, 252 and 1792, that multiplied together give a square (451584 = 672²).

The spelling of 2521792 in words is "two million, five hundred twenty-one thousand, seven hundred ninety-two".