2772076440 has 384 divisors, whose sum is σ = 10645286400. Its totient is φ = 564019200.

The previous prime is 2772076427. The next prime is 2772076453. The reversal of 2772076440 is 446702772.

It is an interprime number because it is at equal distance from previous prime (2772076427) and next prime (2772076453).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4612140 + ... + 4612740.

It is an arithmetic number, because the mean of its divisors is an integer number (27722100).

Almost surely, 2^2772076440 is an apocalyptic number.

2772076440 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 2772076440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322643200).

2772076440 is an abundant number, since it is smaller than the sum of its proper divisors (7873209960).

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

2772076440 is a wasteful number, since it uses less digits than its factorization.

2772076440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 2772076440 is about 52650.5122482203. The cubic root of 2772076440 is about 1404.7587111976.

The spelling of 2772076440 in words is "two billion, seven hundred seventy-two million, seventy-six thousand, four hundred forty".