2077320960 has 648 divisors, whose sum is σ = 8577760464. Its totient is φ = 460062720.

The previous prime is 2077320913. The next prime is 2077320983. The reversal of 2077320960 is 690237702.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21415632 + ... + 21415728.

Almost surely, 2^2077320960 is an apocalyptic number.

2077320960 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 2077320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288880232).

2077320960 is an abundant number, since it is smaller than the sum of its proper divisors (6500439504).

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

2077320960 is a wasteful number, since it uses less digits than its factorization.

2077320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 2077320960 is about 45577.6366214836. The cubic root of 2077320960 is about 1275.9525799406.

The spelling of 2077320960 in words is "two billion, seventy-seven million, three hundred twenty thousand, nine hundred sixty".