2262706900 has 72 divisors (see below), whose sum is σ = 5030678016. Its totient is φ = 882979200.

The previous prime is 2262706889. The next prime is 2262706921. The reversal of 2262706900 is 96072622.

2262706900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2262706900² = 10239685030615220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2025142 + ... + 2026258.

It is an arithmetic number, because the mean of its divisors is an integer number (69870528).

Almost surely, 2^2262706900 is an apocalyptic number.

2262706900 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 2262706900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515339008).

2262706900 is an abundant number, since it is smaller than the sum of its proper divisors (2767971116).

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

2262706900 is a wasteful number, since it uses less digits than its factorization.

2262706900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 2262706900 is about 47567.9188108961. The cubic root of 2262706900 is about 1312.8328455919.

The spelling of 2262706900 in words is "two billion, two hundred sixty-two million, seven hundred six thousand, nine hundred".