2691390240 has 1152 divisors, whose sum is σ = 12680478720. Its totient is φ = 522547200.

The previous prime is 2691390193. The next prime is 2691390259. The reversal of 2691390240 is 420931962.

2691390240 is a `hidden beast` number, since 26 + 9 + 1 + 390 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2691390195 and 2691390204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86819025 + ... + 86819055.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 2^2691390240 is an apocalyptic number.

2691390240 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 2691390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340239360).

2691390240 is an abundant number, since it is smaller than the sum of its proper divisors (9989088480).

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

2691390240 is a wasteful number, since it uses less digits than its factorization.

2691390240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2691390240 is about 51878.6106213341. The cubic root of 2691390240 is about 1390.9949641854.

The spelling of 2691390240 in words is "two billion, six hundred ninety-one million, three hundred ninety thousand, two hundred forty".