2553169920 has 384 divisors, whose sum is σ = 9661317120. Its totient is φ = 563281920.

The previous prime is 2553169919. The next prime is 2553169921. The reversal of 2553169920 is 299613552.

It is an interprime number because it is at equal distance from previous prime (2553169919) and next prime (2553169921).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553169921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6666049 + ... + 6666431.

It is an arithmetic number, because the mean of its divisors is an integer number (25159680).

Almost surely, 2^2553169920 is an apocalyptic number.

2553169920 is a gapful number since it is divisible by the number (20) 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 2553169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830658560).

2553169920 is an abundant number, since it is smaller than the sum of its proper divisors (7108147200).

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

2553169920 is a wasteful number, since it uses less digits than its factorization.

2553169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 2553169920 is about 50528.9018285575. The cubic root of 2553169920 is about 1366.7630828931.

The spelling of 2553169920 in words is "two billion, five hundred fifty-three million, one hundred sixty-nine thousand, nine hundred twenty".