2054777038560 has 240 divisors, whose sum is σ = 7501708922400. Its totient is φ = 529045945344.

The previous prime is 2054777038543. The next prime is 2054777038579. The reversal of 2054777038560 is 658307774502.

It is a happy number.

2054777038560 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 7 + 7 + 70 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 2054777038497 and 2054777038506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2357740 + ... + 3109419.

It is an arithmetic number, because the mean of its divisors is an integer number (31257120510).

Almost surely, 2^{2054777038560} is an apocalyptic number.

2054777038560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2054777038560 is an abundant number, since it is smaller than the sum of its proper divisors (5446931883840).

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

2054777038560 is a wasteful number, since it uses less digits than its factorization.

2054777038560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467215 (or 5467198 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 2054777038560 in words is "two trillion, fifty-four billion, seven hundred seventy-seven million, thirty-eight thousand, five hundred sixty".