2260992000 has 304 divisors, whose sum is σ = 7851722112. Its totient is φ = 576716800.

The previous prime is 2260991981. The next prime is 2260992043. The reversal of 2260992000 is 2990622.

It is a super-2 number, since 2×2260992000² = 10224169648128000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98303989 + ... + 98304011.

Almost surely, 2^2260992000 is an apocalyptic number.

2260992000 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 2260992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925861056).

2260992000 is an abundant number, since it is smaller than the sum of its proper divisors (5590730112).

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

2260992000 is an frugal number, since it uses more digits than its factorization.

2260992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2260992000 is about 47549.8895897772. The cubic root of 2260992000 is about 1312.5010975048.

The spelling of 2260992000 in words is "two billion, two hundred sixty million, nine hundred ninety-two thousand".