2911493640 has 256 divisors, whose sum is σ = 10189670400. Its totient is φ = 658380800.

The previous prime is 2911493623. The next prime is 2911493699. The reversal of 2911493640 is 463941192.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1243591 + ... + 1245929.

It is an arithmetic number, because the mean of its divisors is an integer number (39803400).

Almost surely, 2^2911493640 is an apocalyptic number.

2911493640 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 2911493640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094835200).

2911493640 is an abundant number, since it is smaller than the sum of its proper divisors (7278176760).

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

2911493640 is a wasteful number, since it uses less digits than its factorization.

2911493640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 2911493640 is about 53958.2583114022. The cubic root of 2911493640 is about 1427.9246207729.

The spelling of 2911493640 in words is "two billion, nine hundred eleven million, four hundred ninety-three thousand, six hundred forty".