2491642944 has 420 divisors, whose sum is σ = 9113061276. Its totient is φ = 668860416.

The previous prime is 2491642891. The next prime is 2491642963. The reversal of 2491642944 is 4492461942.

It can be written as a sum of positive squares in 2 ways, for example, as 2292494400 + 199148544 = 47880^2 + 14112^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2491642944.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 4317984 + ... + 4318560.

Almost surely, 2^2491642944 is an apocalyptic number.

2491642944 is a gapful number since it is divisible by the number (24) 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 2491642944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556530638).

2491642944 is an abundant number, since it is smaller than the sum of its proper divisors (6621418332).

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

2491642944 is a wasteful number, since it uses less digits than its factorization.

2491642944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 606 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2491642944 is about 49916.3594826386. The cubic root of 2491642944 is about 1355.6948173726.

The spelling of 2491642944 in words is "two billion, four hundred ninety-one million, six hundred forty-two thousand, nine hundred forty-four".