2553180 has 48 divisors (see below), whose sum is σ = 8171520. Its totient is φ = 583488.

The previous prime is 2553157. The next prime is 2553203. The reversal of 2553180 is 813552.

2553180 = T₁₃₅ + T₁₃₆ + ... + T₂₆₀.

It is an interprime number because it is at equal distance from previous prime (2553157) and next prime (2553203).

It is a super-2 number, since 2×2553180² = 13037456224800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2553180.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2620 + ... + 3459.

It is an arithmetic number, because the mean of its divisors is an integer number (170240).

2^2553180 is an apocalyptic number.

2553180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553180 is an abundant number, since it is smaller than the sum of its proper divisors (5618340).

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

2553180 is a wasteful number, since it uses less digits than its factorization.

2553180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6098 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2553180 is about 1597.8673286603. The cubic root of 2553180 is about 136.6764881566.

The spelling of 2553180 in words is "two million, five hundred fifty-three thousand, one hundred eighty".