2691072720 has 400 divisors, whose sum is σ = 10949799168. Its totient is φ = 599685120.

The previous prime is 2691072691. The next prime is 2691072763. The reversal of 2691072720 is 272701962.

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

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 79 ways as a sum of consecutive naturals, for example, 1859037 + ... + 1860483.

Almost surely, 2^2691072720 is an apocalyptic number.

2691072720 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 2691072720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474899584).

2691072720 is an abundant number, since it is smaller than the sum of its proper divisors (8258726448).

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

2691072720 is a wasteful number, since it uses less digits than its factorization.

2691072720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2691072720 is about 51875.5503103341. The cubic root of 2691072720 is about 1390.9402605996.

The spelling of 2691072720 in words is "two billion, six hundred ninety-one million, seventy-two thousand, seven hundred twenty".