2777861268 has 288 divisors, whose sum is σ = 9451653120. Its totient is φ = 666869760.

The previous prime is 2777861263. The next prime is 2777861269. The reversal of 2777861268 is 8621687772.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2777861263) 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, 1725648 + ... + 1727256.

It is an arithmetic number, because the mean of its divisors is an integer number (32818240).

Almost surely, 2^2777861268 is an apocalyptic number.

2777861268 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 2777861268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725826560).

2777861268 is an abundant number, since it is smaller than the sum of its proper divisors (6673791852).

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

2777861268 is a wasteful number, since it uses less digits than its factorization.

2777861268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1682 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 2777861268 is about 52705.4197213152. The cubic root of 2777861268 is about 1405.7351923713.

The spelling of 2777861268 in words is "two billion, seven hundred seventy-seven million, eight hundred sixty-one thousand, two hundred sixty-eight".