2794724680752 has 240 divisors, whose sum is σ = 8446211729280. Its totient is φ = 859416434688.

The previous prime is 2794724680729. The next prime is 2794724680757. The reversal of 2794724680752 is 2570864274972.

It is a happy number.

2794724680752 is a `hidden beast` number, since 2 + 79 + 472 + 46 + 8 + 0 + 7 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2794724680752.

It is not an unprimeable number, because it can be changed into a prime (2794724680757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50090023 + ... + 50145785.

It is an arithmetic number, because the mean of its divisors is an integer number (35192548872).

Almost surely, 2^{2794724680752} 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 2794724680752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223105864640).

2794724680752 is an abundant number, since it is smaller than the sum of its proper divisors (5651487048528).

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

2794724680752 is a wasteful number, since it uses less digits than its factorization.

2794724680752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56200 (or 56191 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 2794724680752 in words is "two trillion, seven hundred ninety-four billion, seven hundred twenty-four million, six hundred eighty thousand, seven hundred fifty-two".