2794960102680 has 320 divisors, whose sum is σ = 9475801251840. Its totient is φ = 738870536448.

The previous prime is 2794960102607. The next prime is 2794960102687. The reversal of 2794960102680 is 862010694972.

2794960102680 is a `hidden beast` number, since 2 + 7 + 9 + 4 + 9 + 601 + 0 + 26 + 8 + 0 = 666.

It is a super-2 number, since 2×2794960102680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2794960102687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 207226897 + ... + 207240383.

It is an arithmetic number, because the mean of its divisors is an integer number (29611878912).

Almost surely, 2^{2794960102680} is an apocalyptic number.

2794960102680 is a gapful number since it is divisible by the number (20) 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 2794960102680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737900625920).

2794960102680 is an abundant number, since it is smaller than the sum of its proper divisors (6680841149160).

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

2794960102680 is a wasteful number, since it uses less digits than its factorization.

2794960102680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14060 (or 14047 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2794960102680 in words is "two trillion, seven hundred ninety-four billion, nine hundred sixty million, one hundred two thousand, six hundred eighty".