2794867711272 has 512 divisors, whose sum is σ = 10162807603200. Its totient is φ = 690619281408.

The previous prime is 2794867711249. The next prime is 2794867711297. The reversal of 2794867711272 is 2721177684972.

2794867711272 is a `hidden beast` number, since 2 + 7 + 9 + 486 + 7 + 71 + 12 + 72 = 666.

It is a super-2 number, since 2×2794867711272² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74497143 + ... + 74534649.

It is an arithmetic number, because the mean of its divisors is an integer number (19849233600).

Almost surely, 2^{2794867711272} 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 2794867711272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081403801600).

2794867711272 is an abundant number, since it is smaller than the sum of its proper divisors (7367939891928).

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

2794867711272 is a wasteful number, since it uses less digits than its factorization.

2794867711272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37782 (or 37772 counting only the distinct ones).

The product of its digits is 33191424, while the sum is 63.

The spelling of 2794867711272 in words is "two trillion, seven hundred ninety-four billion, eight hundred sixty-seven million, seven hundred eleven thousand, two hundred seventy-two".