2772763053060 has 768 divisors, whose sum is σ = 10780065128448. Its totient is φ = 513976320000.

The previous prime is 2772763053041. The next prime is 2772763053077. The reversal of 2772763053060 is 603503672772.

It is a super-2 number, since 2×2772763053060² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 213266560 + ... + 213279560.

It is an arithmetic number, because the mean of its divisors is an integer number (14036543136).

Almost surely, 2^{2772763053060} is an apocalyptic number.

2772763053060 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 2772763053060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5390032564224).

2772763053060 is an abundant number, since it is smaller than the sum of its proper divisors (8007302075388).

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

2772763053060 is a wasteful number, since it uses less digits than its factorization.

2772763053060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13164 (or 13162 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 48.

The spelling of 2772763053060 in words is "two trillion, seven hundred seventy-two billion, seven hundred sixty-three million, fifty-three thousand, sixty".