2794563452772 has 576 divisors, whose sum is σ = 9255810170880. Its totient is φ = 690342331392.

The previous prime is 2794563452761. The next prime is 2794563452783. The reversal of 2794563452772 is 2772543654972.

It is a happy number.

2794563452772 is a `hidden beast` number, since 2 + 7 + 9 + 4 + 5 + 6 + 34 + 527 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (2794563452761) and next prime (2794563452783).

It is a super-3 number, since 3×2794563452772³ (a number of 38 digits) contains 333 as substring.

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

Its product of digits (177811200) is a multiple of the sum of its prime factors (1400).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3691629018 + ... + 3691629774.

It is an arithmetic number, because the mean of its divisors is an integer number (16069114880).

Almost surely, 2^{2794563452772} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2794563452772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627905085440).

2794563452772 is an abundant number, since it is smaller than the sum of its proper divisors (6461246718108).

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

2794563452772 is a wasteful number, since it uses less digits than its factorization.

2794563452772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1395 counting only the distinct ones).

The product of its digits is 177811200, while the sum is 63.

The spelling of 2794563452772 in words is "two trillion, seven hundred ninety-four billion, five hundred sixty-three million, four hundred fifty-two thousand, seven hundred seventy-two".