2270360400 has 240 divisors, whose sum is σ = 9067657728. Its totient is φ = 471744000.

The previous prime is 2270360399. The next prime is 2270360401. The reversal of 2270360400 is 40630722.

It is an interprime number because it is at equal distance from previous prime (2270360399) and next prime (2270360401).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270360401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80115 + ... + 104685.

Almost surely, 2^2270360400 is an apocalyptic number.

2270360400 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 2270360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533828864).

2270360400 is an abundant number, since it is smaller than the sum of its proper divisors (6797297328).

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

2270360400 is a wasteful number, since it uses less digits than its factorization.

2270360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24610 (or 24599 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2270360400 is about 47648.2990252538. The cubic root of 2270360400 is about 1314.3113783358.

The spelling of 2270360400 in words is "two billion, two hundred seventy million, three hundred sixty thousand, four hundred".