2772000279720 has 576 divisors, whose sum is σ = 10775840624640. Its totient is φ = 615821875200.

The previous prime is 2772000279637. The next prime is 2772000279787. The reversal of 2772000279720 is 279720002772.

It is a happy number.

It is a super-3 number, since 3×2772000279720³ (a number of 38 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 195990969 + ... + 196005111.

It is an arithmetic number, because the mean of its divisors is an integer number (18708056640).

Almost surely, 2^{2772000279720} is an apocalyptic number.

2772000279720 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 2772000279720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387920312320).

2772000279720 is an abundant number, since it is smaller than the sum of its proper divisors (8003840344920).

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

2772000279720 is a wasteful number, since it uses less digits than its factorization.

2772000279720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14486 (or 14472 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 2772000279720 in words is "two trillion, seven hundred seventy-two billion, two hundred seventy-nine thousand, seven hundred twenty".