2771838468 has 180 divisors, whose sum is σ = 8796820032. Its totient is φ = 757421280.

The previous prime is 2771838451. The next prime is 2771838479. The reversal of 2771838468 is 8648381772.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 361353 + ... + 368943.

Almost surely, 2^2771838468 is an apocalyptic number.

2771838468 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 2771838468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398410016).

2771838468 is an abundant number, since it is smaller than the sum of its proper divisors (6024981564).

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

2771838468 is a wasteful number, since it uses less digits than its factorization.

2771838468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7644 (or 7626 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 2771838468 is about 52648.2522786844. The cubic root of 2771838468 is about 1404.7185123534.

The spelling of 2771838468 in words is "two billion, seven hundred seventy-one million, eight hundred thirty-eight thousand, four hundred sixty-eight".