2291461000 has 64 divisors (see below), whose sum is σ = 5404538880. Its totient is φ = 909316800.

The previous prime is 2291460967. The next prime is 2291461027. The reversal of 2291461000 is 1641922.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117979 + ... + 136021.

It is an arithmetic number, because the mean of its divisors is an integer number (84445920).

Almost surely, 2^2291461000 is an apocalyptic number.

2291461000 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 2291461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702269440).

2291461000 is an abundant number, since it is smaller than the sum of its proper divisors (3113077880).

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

2291461000 is a wasteful number, since it uses less digits than its factorization.

2291461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18191 (or 18177 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2291461000 is about 47869.2072213443. The cubic root of 2291461000 is about 1318.3705406299.

The spelling of 2291461000 in words is "two billion, two hundred ninety-one million, four hundred sixty-one thousand".