2794957705008 has 240 divisors, whose sum is σ = 9236836550656. Its totient is φ = 772042337280.

The previous prime is 2794957704983. The next prime is 2794957705027. The reversal of 2794957705008 is 8005077594972.

2794957705008 is a `hidden beast` number, since 2 + 7 + 9 + 4 + 9 + 57 + 70 + 500 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32235891 + ... + 32322477.

Almost surely, 2^{2794957705008} is an apocalyptic number.

2794957705008 is a gapful number since it is divisible by the number (28) 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 2794957705008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618418275328).

2794957705008 is an abundant number, since it is smaller than the sum of its proper divisors (6441878845648).

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

2794957705008 is a wasteful number, since it uses less digits than its factorization.

2794957705008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87672 (or 87663 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 2794957705008 in words is "two trillion, seven hundred ninety-four billion, nine hundred fifty-seven million, seven hundred five thousand, eight".