2794891405824 has 640 divisors, whose sum is σ = 9727777382400. Its totient is φ = 775752007680.

The previous prime is 2794891405811. The next prime is 2794891405849. The reversal of 2794891405824 is 4285041984972.

2794891405824 is a `hidden beast` number, since 2 + 7 + 9 + 4 + 8 + 9 + 1 + 40 + 582 + 4 = 666.

It is a super-2 number, since 2×2794891405824² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 632183134 + ... + 632187554.

It is an arithmetic number, because the mean of its divisors is an integer number (15199652160).

Almost surely, 2^{2794891405824} is an apocalyptic number.

2794891405824 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 2794891405824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863888691200).

2794891405824 is an abundant number, since it is smaller than the sum of its proper divisors (6932885976576).

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

2794891405824 is a wasteful number, since it uses less digits than its factorization.

2794891405824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 2794891405824 in words is "two trillion, seven hundred ninety-four billion, eight hundred ninety-one million, four hundred five thousand, eight hundred twenty-four".