2246137000 has 128 divisors (see below), whose sum is σ = 5516877600. Its totient is φ = 854784000.

The previous prime is 2246136887. The next prime is 2246137027. The reversal of 2246137000 is 7316422.

It can be written as a sum of positive squares in 16 ways, for example, as 16597476 + 2229539524 = 4074^2 + 47218^2 .

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 31 ways as a sum of consecutive naturals, for example, 2116470 + ... + 2117530.

Almost surely, 2^2246137000 is an apocalyptic number.

2246137000 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 2246137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758438800).

2246137000 is an abundant number, since it is smaller than the sum of its proper divisors (3270740600).

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

2246137000 is a wasteful number, since it uses less digits than its factorization.

2246137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 2246137000 is about 47393.4278144133. The cubic root of 2246137000 is about 1309.6203472213.

The spelling of 2246137000 in words is "two billion, two hundred forty-six million, one hundred thirty-seven thousand".