2270150400 has 648 divisors, whose sum is σ = 9246074880. Its totient is φ = 487710720.

The previous prime is 2270150371. The next prime is 2270150473. The reversal of 2270150400 is 40510722.

2270150400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17875137 + ... + 17875263.

Almost surely, 2^2270150400 is an apocalyptic number.

2270150400 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 2270150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623037440).

2270150400 is an abundant number, since it is smaller than the sum of its proper divisors (6975924480).

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

2270150400 is a wasteful number, since it uses less digits than its factorization.

2270150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2270150400 is about 47646.0953279490. The cubic root of 2270150400 is about 1314.2708540943.

The spelling of 2270150400 in words is "two billion, two hundred seventy million, one hundred fifty thousand, four hundred".