2553840 has 60 divisors (see below), whose sum is σ = 8579064. Its totient is φ = 680832.

The previous prime is 2553829. The next prime is 2553853. The reversal of 2553840 is 483552.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1054 + ... + 2493.

2^2553840 is an apocalyptic number.

2553840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553840 is an abundant number, since it is smaller than the sum of its proper divisors (6025224).

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

2553840 is a wasteful number, since it uses less digits than its factorization.

2553840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2553840 is about 1598.0738405969. The cubic root of 2553840 is about 136.6882641524.

It can be divided in two parts, 255 and 3840, that added together give a triangular number (4095 = T₉₀).

The spelling of 2553840 in words is "two million, five hundred fifty-three thousand, eight hundred forty".