2271514960 has 320 divisors, whose sum is σ = 6614576640. Its totient is φ = 713687040.

The previous prime is 2271514951. The next prime is 2271514963. The reversal of 2271514960 is 694151722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2271514963) 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, 23417632 + ... + 23417728.

It is an arithmetic number, because the mean of its divisors is an integer number (20670552).

Almost surely, 2^2271514960 is an apocalyptic number.

2271514960 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 2271514960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307288320).

2271514960 is an abundant number, since it is smaller than the sum of its proper divisors (4343061680).

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

2271514960 is a wasteful number, since it uses less digits than its factorization.

2271514960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 2271514960 is about 47660.4129230958. The cubic root of 2271514960 is about 1314.5341321317.

It can be divided in two parts, 22715 and 14960, that added together give a triangular number (37675 = T₂₇₄).

The spelling of 2271514960 in words is "two billion, two hundred seventy-one million, five hundred fourteen thousand, nine hundred sixty".