2077153320 has 128 divisors (see below), whose sum is σ = 6884352000. Its totient is φ = 497153280.

The previous prime is 2077153319. The next prime is 2077153327. The reversal of 2077153320 is 233517702.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2077153327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 94321 + ... + 114239.

It is an arithmetic number, because the mean of its divisors is an integer number (53784000).

Almost surely, 2^2077153320 is an apocalyptic number.

2077153320 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 2077153320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442176000).

2077153320 is an abundant number, since it is smaller than the sum of its proper divisors (4807198680).

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

2077153320 is a wasteful number, since it uses less digits than its factorization.

2077153320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20023 (or 20019 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 2077153320 is about 45575.7975245634. The cubic root of 2077153320 is about 1275.9182558522.

The spelling of 2077153320 in words is "two billion, seventy-seven million, one hundred fifty-three thousand, three hundred twenty".