2077272320 has 144 divisors (see below), whose sum is σ = 5205332160. Its totient is φ = 793239552.

The previous prime is 2077272319. The next prime is 2077272331. The reversal of 2077272320 is 232727702.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3971579 + ... + 3972101.

It is an arithmetic number, because the mean of its divisors is an integer number (36148140).

Almost surely, 2^2077272320 is an apocalyptic number.

2077272320 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 2077272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602666080).

2077272320 is an abundant number, since it is smaller than the sum of its proper divisors (3128059840).

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

2077272320 is a wasteful number, since it uses less digits than its factorization.

2077272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 32.

The square root of 2077272320 is about 45577.1030233384. The cubic root of 2077272320 is about 1275.9426211493.

The spelling of 2077272320 in words is "two billion, seventy-seven million, two hundred seventy-two thousand, three hundred twenty".