2270697600 has 384 divisors, whose sum is σ = 8044128000. Its totient is φ = 561254400.

The previous prime is 2270697587. The next prime is 2270697623. The reversal of 2270697600 is 67960722.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 10761495 + ... + 10761705.

It is an arithmetic number, because the mean of its divisors is an integer number (20948250).

Almost surely, 2^2270697600 is an apocalyptic number.

2270697600 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 2270697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022064000).

2270697600 is an abundant number, since it is smaller than the sum of its proper divisors (5773430400).

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

2270697600 is a wasteful number, since it uses less digits than its factorization.

2270697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 2270697600 is about 47651.8373202965. The cubic root of 2270697600 is about 1314.3764434620.

The spelling of 2270697600 in words is "two billion, two hundred seventy million, six hundred ninety-seven thousand, six hundred".