2746147365720 has 768 divisors, whose sum is σ = 10569235622400. Its totient is φ = 611265208320.

The previous prime is 2746147365697. The next prime is 2746147365727. The reversal of 2746147365720 is 275637416472.

2746147365720 is a `hidden beast` number, since 2 + 7 + 4 + 61 + 4 + 7 + 3 + 6 + 572 + 0 = 666.

It is a super-2 number, since 2×2746147365720² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2746147365727) 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, 330976612 + ... + 330984908.

It is an arithmetic number, because the mean of its divisors is an integer number (13762025550).

Almost surely, 2^{2746147365720} is an apocalyptic number.

2746147365720 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 2746147365720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284617811200).

2746147365720 is an abundant number, since it is smaller than the sum of its proper divisors (7823088256680).

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

2746147365720 is a wasteful number, since it uses less digits than its factorization.

2746147365720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8480 (or 8473 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 2746147365720 in words is "two trillion, seven hundred forty-six billion, one hundred forty-seven million, three hundred sixty-five thousand, seven hundred twenty".