2271413760 has 640 divisors, whose sum is σ = 9503391744. Its totient is φ = 448757760.

The previous prime is 2271413701. The next prime is 2271413797. The reversal of 2271413760 is 673141722.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 13601197 + ... + 13601363.

Almost surely, 2^2271413760 is an apocalyptic number.

2271413760 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 2271413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751695872).

2271413760 is an abundant number, since it is smaller than the sum of its proper divisors (7231977984).

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

2271413760 is a wasteful number, since it uses less digits than its factorization.

2271413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 2271413760 is about 47659.3512335197. The cubic root of 2271413760 is about 1314.5146102367.

The spelling of 2271413760 in words is "two billion, two hundred seventy-one million, four hundred thirteen thousand, seven hundred sixty".