2653952 has 36 divisors (see below), whose sum is σ = 6058416. Its totient is φ = 1136640.

The previous prime is 2653951. The next prime is 2653957. The reversal of 2653952 is 2593562.

It is a super-2 number, since 2×2653952² = 14086922436608, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 2¹⁵ + 6² + 5⁷ + 3¹⁰ + 9⁴ + 5⁹ + 2¹⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1052 + ... + 2532.

2^2653952 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 2653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029208).

2653952 is an abundant number, since it is smaller than the sum of its proper divisors (3404464).

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

2653952 is an equidigital number, since it uses as much as digits as its factorization.

2653952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1490 counting only the distinct ones).

The product of its digits is 16200, while the sum is 32.

The square root of 2653952 is about 1629.0954545391. The cubic root of 2653952 is about 138.4515072188.

The spelling of 2653952 in words is "two million, six hundred fifty-three thousand, nine hundred fifty-two".