2246272700 has 144 divisors (see below), whose sum is σ = 5820460800. Its totient is φ = 751746240.

The previous prime is 2246272697. The next prime is 2246272703. The reversal of 2246272700 is 72726422.

It is an interprime number because it is at equal distance from previous prime (2246272697) and next prime (2246272703).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246272703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1474139 + ... + 1475661.

Almost surely, 2^2246272700 is an apocalyptic number.

2246272700 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 2246272700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910230400).

2246272700 is an abundant number, since it is smaller than the sum of its proper divisors (3574188100).

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

2246272700 is a wasteful number, since it uses less digits than its factorization.

2246272700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 2246272700 is about 47394.8594258913. The cubic root of 2246272700 is about 1309.6467201900.

The spelling of 2246272700 in words is "two billion, two hundred forty-six million, two hundred seventy-two thousand, seven hundred".