2275211520 has 432 divisors, whose sum is σ = 8509842432. Its totient is φ = 559595520.

The previous prime is 2275211479. The next prime is 2275211567. The reversal of 2275211520 is 251125722.

It is a super-3 number, since 3×2275211520³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8213622 + ... + 8213898.

Almost surely, 2^2275211520 is an apocalyptic number.

2275211520 is a gapful number since it is divisible by the number (20) 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 2275211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254921216).

2275211520 is an abundant number, since it is smaller than the sum of its proper divisors (6234630912).

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

2275211520 is a wasteful number, since it uses less digits than its factorization.

2275211520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 2275211520 is about 47699.1773513967. The cubic root of 2275211520 is about 1315.2468166687.

The spelling of 2275211520 in words is "two billion, two hundred seventy-five million, two hundred eleven thousand, five hundred twenty".