2825551872 has 384 divisors, whose sum is σ = 9732733920. Its totient is φ = 778567680.

The previous prime is 2825551871. The next prime is 2825551913. The reversal of 2825551872 is 2781555282.

2825551872 is a `hidden beast` number, since 2 + 8 + 25 + 551 + 8 + 72 = 666.

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

It is a super-4 number, since 4×2825551872⁴ (a number of 39 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (2825551871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42172383 + ... + 42172449.

Almost surely, 2^2825551872 is an apocalyptic number.

2825551872 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 2825551872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866366960).

2825551872 is an abundant number, since it is smaller than the sum of its proper divisors (6907182048).

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

2825551872 is a wasteful number, since it uses less digits than its factorization.

2825551872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its digits is 448000, while the sum is 45.

The square root of 2825551872 is about 53155.9203852214. The cubic root of 2825551872 is about 1413.7341911095.

The spelling of 2825551872 in words is "two billion, eight hundred twenty-five million, five hundred fifty-one thousand, eight hundred seventy-two".