2249136672 has 192 divisors, whose sum is σ = 6298072704. Its totient is φ = 701890560.

The previous prime is 2249136667. The next prime is 2249136677. The reversal of 2249136672 is 2766319422.

It is an interprime number because it is at equal distance from previous prime (2249136667) and next prime (2249136677).

It is not an unprimeable number, because it can be changed into a prime (2249136677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16416988 + ... + 16417124.

It is an arithmetic number, because the mean of its divisors is an integer number (32802462).

Almost surely, 2^2249136672 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 2249136672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149036352).

2249136672 is an abundant number, since it is smaller than the sum of its proper divisors (4048936032).

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

2249136672 is a wasteful number, since it uses less digits than its factorization.

2249136672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 2249136672 is about 47425.0637532518. The cubic root of 2249136672 is about 1310.2030786696.

The spelling of 2249136672 in words is "two billion, two hundred forty-nine million, one hundred thirty-six thousand, six hundred seventy-two".