2552928 has 96 divisors (see below), whose sum is σ = 7983360. Its totient is φ = 698880.

The previous prime is 2552917. The next prime is 2552939. The reversal of 2552928 is 8292552.

2552928 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (2552917) and next prime (2552939).

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (14400) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19423 + ... + 19553.

It is an arithmetic number, because the mean of its divisors is an integer number (83160).

2^2552928 is an apocalyptic number.

2552928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991680).

2552928 is an abundant number, since it is smaller than the sum of its proper divisors (5430432).

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

2552928 is a wasteful number, since it uses less digits than its factorization.

2552928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 2552928 is about 1597.7884716069. The cubic root of 2552928 is about 136.6719913320.

The spelling of 2552928 in words is "two million, five hundred fifty-two thousand, nine hundred twenty-eight".