2777563768 has 64 divisors (see below), whose sum is σ = 6408979200. Its totient is φ = 1101350400.

The previous prime is 2777563757. The next prime is 2777563771. The reversal of 2777563768 is 8673657772.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31443 + ... + 80893.

It is an arithmetic number, because the mean of its divisors is an integer number (100140300).

Almost surely, 2^2777563768 is an apocalyptic number.

2777563768 is a gapful number since it is divisible by the number (28) 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 2777563768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204489600).

2777563768 is an abundant number, since it is smaller than the sum of its proper divisors (3631415432).

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

2777563768 is a wasteful number, since it uses less digits than its factorization.

2777563768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49540 (or 49536 counting only the distinct ones).

The product of its digits is 20744640, while the sum is 58.

The square root of 2777563768 is about 52702.5973553486. The cubic root of 2777563768 is about 1405.6850073416.

The spelling of 2777563768 in words is "two billion, seven hundred seventy-seven million, five hundred sixty-three thousand, seven hundred sixty-eight".