2277631752 has 256 divisors, whose sum is σ = 6718464000. Its totient is φ = 636979200.

The previous prime is 2277631751. The next prime is 2277631757. The reversal of 2277631752 is 2571367722.

It is a happy number.

Its product of digits (246960) is a multiple of the sum of its prime factors (252).

It is not an unprimeable number, because it can be changed into a prime (2277631751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25591324 + ... + 25591412.

It is an arithmetic number, because the mean of its divisors is an integer number (26244000).

Almost surely, 2^2277631752 is an apocalyptic number.

2277631752 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 2277631752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359232000).

2277631752 is an abundant number, since it is smaller than the sum of its proper divisors (4440832248).

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

2277631752 is a wasteful number, since it uses less digits than its factorization.

2277631752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 248 counting only the distinct ones).

The product of its digits is 246960, while the sum is 42.

The square root of 2277631752 is about 47724.5403539940. The cubic root of 2277631752 is about 1315.7130113313.

The spelling of 2277631752 in words is "two billion, two hundred seventy-seven million, six hundred thirty-one thousand, seven hundred fifty-two".