2552169984 has 480 divisors, whose sum is σ = 9101917440. Its totient is φ = 617103360.

The previous prime is 2552169943. The next prime is 2552169989. The reversal of 2552169984 is 4899612552.

Its product of digits (1555200) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552169989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82328049 + ... + 82328079.

It is an arithmetic number, because the mean of its divisors is an integer number (18962328).

Almost surely, 2^2552169984 is an apocalyptic number.

2552169984 is a gapful number since it is divisible by the number (24) 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 2552169984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550958720).

2552169984 is an abundant number, since it is smaller than the sum of its proper divisors (6549747456).

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

2552169984 is a wasteful number, since it uses less digits than its factorization.

2552169984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 75 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The square root of 2552169984 is about 50519.0061659966. The cubic root of 2552169984 is about 1366.5846309936.

The spelling of 2552169984 in words is "two billion, five hundred fifty-two million, one hundred sixty-nine thousand, nine hundred eighty-four".