2772806400 has 972 divisors, whose sum is σ = 12754666288. Its totient is φ = 559595520.

The previous prime is 2772806371. The next prime is 2772806417. The reversal of 2772806400 is 46082772.

2772806400 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 8 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 120556789 + ... + 120556811.

Almost surely, 2^2772806400 is an apocalyptic number.

2772806400 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 2772806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377333144).

2772806400 is an abundant number, since it is smaller than the sum of its proper divisors (9981859888).

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

2772806400 is a wasteful number, since it uses less digits than its factorization.

2772806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2772806400 is about 52657.4439182154. The cubic root of 2772806400 is about 1404.8820035740.

The spelling of 2772806400 in words is "two billion, seven hundred seventy-two million, eight hundred six thousand, four hundred".