2270671900 has 72 divisors (see below), whose sum is σ = 5687198496. Its totient is φ = 770784000.

The previous prime is 2270671867. The next prime is 2270671901. The reversal of 2270671900 is 91760722.

2270671900 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 2×2270671900² = 10311901754899220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270671901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54642 + ... + 86758.

It is an arithmetic number, because the mean of its divisors is an integer number (78988868).

Almost surely, 2^2270671900 is an apocalyptic number.

2270671900 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 2270671900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843599248).

2270671900 is an abundant number, since it is smaller than the sum of its proper divisors (3416526596).

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

2270671900 is a wasteful number, since it uses less digits than its factorization.

2270671900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32239 (or 32232 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 2270671900 is about 47651.5676552199. The cubic root of 2270671900 is about 1314.3714846919.

The spelling of 2270671900 in words is "two billion, two hundred seventy million, six hundred seventy-one thousand, nine hundred".