2270400000 has 480 divisors, whose sum is σ = 8439209856. Its totient is φ = 537600000.

The previous prime is 2270399987. The next prime is 2270400023. The reversal of 2270400000 is 40722.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 52799979 + ... + 52800021.

Almost surely, 2^2270400000 is an apocalyptic number.

2270400000 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 2270400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219604928).

2270400000 is an abundant number, since it is smaller than the sum of its proper divisors (6168809856).

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

2270400000 is an frugal number, since it uses more digits than its factorization.

2270400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 2270400000 is about 47648.7145681812. The cubic root of 2270400000 is about 1314.3190197699.

Adding to 2270400000 its reverse (40722), we get a palindrome (2270440722).

The spelling of 2270400000 in words is "two billion, two hundred seventy million, four hundred thousand".