2246141772 has 288 divisors, whose sum is σ = 7239456000. Its totient is φ = 598752000.

The previous prime is 2246141759. The next prime is 2246141783. The reversal of 2246141772 is 2771416422.

2246141772 is a `hidden beast` number, since 2 + 24 + 614 + 17 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8948647 + ... + 8948897.

It is an arithmetic number, because the mean of its divisors is an integer number (25137000).

Almost surely, 2^2246141772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246141772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728000).

2246141772 is an abundant number, since it is smaller than the sum of its proper divisors (4993314228).

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

2246141772 is a wasteful number, since it uses less digits than its factorization.

2246141772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 371 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2246141772 is about 47393.4781589197. The cubic root of 2246141772 is about 1309.6212746660.

The spelling of 2246141772 in words is "two billion, two hundred forty-six million, one hundred forty-one thousand, seven hundred seventy-two".