2722700741760 has 768 divisors, whose sum is σ = 10352678169600. Its totient is φ = 656296058880.

The previous prime is 2722700741753. The next prime is 2722700741773. The reversal of 2722700741760 is 671470072272.

2722700741760 is a `hidden beast` number, since 2 + 7 + 227 + 0 + 0 + 7 + 417 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1235904819 + ... + 1235907021.

It is an arithmetic number, because the mean of its divisors is an integer number (13480049700).

Almost surely, 2^{2722700741760} is an apocalyptic number.

2722700741760 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 2722700741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176339084800).

2722700741760 is an abundant number, since it is smaller than the sum of its proper divisors (7629977427840).

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

2722700741760 is a wasteful number, since it uses less digits than its factorization.

2722700741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 2722700741760 in words is "two trillion, seven hundred twenty-two billion, seven hundred million, seven hundred forty-one thousand, seven hundred sixty".