2791653840 has 120 divisors (see below), whose sum is σ = 9415111680. Its totient is φ = 741280512.

The previous prime is 2791653829. The next prime is 2791653859. The reversal of 2791653840 is 483561972.

2791653840 is a `hidden beast` number, since 2 + 79 + 1 + 6 + 538 + 40 = 666.

2791653840 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

2791653840 is strictly pandigital in base 10.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 163969 + ... + 180191.

It is an arithmetic number, because the mean of its divisors is an integer number (78459264).

It is a 1-persistent number, because it is pandigital, but 2⋅2791653840 = 5583307680 is not.

Almost surely, 2^2791653840 is an apocalyptic number.

2791653840 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 2791653840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707555840).

2791653840 is an abundant number, since it is smaller than the sum of its proper divisors (6623457840).

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

2791653840 is a wasteful number, since it uses less digits than its factorization.

2791653840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16481 (or 16472 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2791653840 is about 52836.1035656491. The cubic root of 2791653840 is about 1408.0579268738.

The spelling of 2791653840 in words is "two billion, seven hundred ninety-one million, six hundred fifty-three thousand, eight hundred forty".