2772141700 has 72 divisors (see below), whose sum is σ = 6312720960. Its totient is φ = 1054627200.

The previous prime is 2772141689. The next prime is 2772141709. The reversal of 2772141700 is 71412772.

It is not an unprimeable number, because it can be changed into a prime (2772141709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412971 + ... + 419629.

It is an arithmetic number, because the mean of its divisors is an integer number (87676680).

Almost surely, 2^2772141700 is an apocalyptic number.

2772141700 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 2772141700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156360480).

2772141700 is an abundant number, since it is smaller than the sum of its proper divisors (3540579260).

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

2772141700 is a wasteful number, since it uses less digits than its factorization.

2772141700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6877 (or 6870 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 31.

The square root of 2772141700 is about 52651.1319916296. The cubic root of 2772141700 is about 1404.7697346832.

The spelling of 2772141700 in words is "two billion, seven hundred seventy-two million, one hundred forty-one thousand, seven hundred".