2581172352 has 256 divisors, whose sum is σ = 8509248000. Its totient is φ = 763499520.

The previous prime is 2581172351. The next prime is 2581172357. The reversal of 2581172352 is 2532711852.

2581172352 is a `hidden beast` number, since 2 + 581 + 1 + 7 + 23 + 52 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2581172351) 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, 1633899 + ... + 1635477.

It is an arithmetic number, because the mean of its divisors is an integer number (33239250).

Almost surely, 2^2581172352 is an apocalyptic number.

2581172352 is a gapful number since it is divisible by the number (22) 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 2581172352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254624000).

2581172352 is an abundant number, since it is smaller than the sum of its proper divisors (5928075648).

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

2581172352 is a wasteful number, since it uses less digits than its factorization.

2581172352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1638 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 2581172352 is about 50805.2394148478. The cubic root of 2581172352 is about 1371.7416802948.

The spelling of 2581172352 in words is "two billion, five hundred eighty-one million, one hundred seventy-two thousand, three hundred fifty-two".