2795740505280 has 1344 divisors, whose sum is σ = 11263359744000. Its totient is φ = 655865413632.

The previous prime is 2795740505219. The next prime is 2795740505281. The reversal of 2795740505280 is 825050475972.

2795740505280 is a `hidden beast` number, since 2 + 7 + 9 + 57 + 4 + 0 + 505 + 2 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2795740505281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1984201216 + ... + 1984202624.

It is an arithmetic number, because the mean of its divisors is an integer number (8380476000).

Almost surely, 2^{2795740505280} is an apocalyptic number.

2795740505280 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 2795740505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631679872000).

2795740505280 is an abundant number, since it is smaller than the sum of its proper divisors (8467619238720).

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

2795740505280 is a wasteful number, since it uses less digits than its factorization.

2795740505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 2795740505280 in words is "two trillion, seven hundred ninety-five billion, seven hundred forty million, five hundred five thousand, two hundred eighty".