2795170472640 has 3360 divisors, whose sum is σ = 13260376571904. Its totient is φ = 553063956480.

The previous prime is 2795170472573. The next prime is 2795170472663. The reversal of 2795170472640 is 462740715972.

2795170472640 is a `hidden beast` number, since 27 + 9 + 517 + 0 + 47 + 2 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×2795170472640² (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 an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 22009216257 + ... + 22009216383.

Almost surely, 2^{2795170472640} is an apocalyptic number.

2795170472640 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 2795170472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630188285952).

2795170472640 is an abundant number, since it is smaller than the sum of its proper divisors (10465206099264).

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

2795170472640 is a wasteful number, since it uses less digits than its factorization.

2795170472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 2795170472640 in words is "two trillion, seven hundred ninety-five billion, one hundred seventy million, four hundred seventy-two thousand, six hundred forty".