2774494656000 has 960 divisors, whose sum is σ = 10741510802880. Its totient is φ = 685788364800.

The previous prime is 2774494655971. The next prime is 2774494656007. The reversal of 2774494656000 is 6564944772.

2774494656000 is a `hidden beast` number, since 2 + 7 + 74 + 4 + 9 + 4 + 6 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2774494656007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 656061886 + ... + 656066114.

It is an arithmetic number, because the mean of its divisors is an integer number (11189073753).

Almost surely, 2^{2774494656000} is an apocalyptic number.

2774494656000 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 2774494656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370755401440).

2774494656000 is an abundant number, since it is smaller than the sum of its proper divisors (7967016146880).

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

2774494656000 is a wasteful number, since it uses less digits than its factorization.

2774494656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 2774494656000 in words is "two trillion, seven hundred seventy-four billion, four hundred ninety-four million, six hundred fifty-six thousand".