2787133272 has 256 divisors, whose sum is σ = 9322905600. Its totient is φ = 672122880.

The previous prime is 2787133267. The next prime is 2787133303. The reversal of 2787133272 is 2723317872.

It is a super-2 number, since 2×2787133272² = 15536223751778851968, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2481303 + ... + 2482425.

It is an arithmetic number, because the mean of its divisors is an integer number (36417600).

Almost surely, 2^2787133272 is an apocalyptic number.

2787133272 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 2787133272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661452800).

2787133272 is an abundant number, since it is smaller than the sum of its proper divisors (6535772328).

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

2787133272 is a wasteful number, since it uses less digits than its factorization.

2787133272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1242 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 2787133272 is about 52793.3070758027. The cubic root of 2787133272 is about 1407.2974863091.

The spelling of 2787133272 in words is "two billion, seven hundred eighty-seven million, one hundred thirty-three thousand, two hundred seventy-two".