2077155360 has 384 divisors, whose sum is σ = 8382528000. Its totient is φ = 470568960.

The previous prime is 2077155337. The next prime is 2077155391. The reversal of 2077155360 is 635517702.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4505530 + ... + 4505990.

It is an arithmetic number, because the mean of its divisors is an integer number (21829500).

Almost surely, 2^2077155360 is an apocalyptic number.

2077155360 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 2077155360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191264000).

2077155360 is an abundant number, since it is smaller than the sum of its proper divisors (6305372640).

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

2077155360 is a wasteful number, since it uses less digits than its factorization.

2077155360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 2077155360 is about 45575.8199048574. The cubic root of 2077155360 is about 1275.9186735509.

The spelling of 2077155360 in words is "two billion, seventy-seven million, one hundred fifty-five thousand, three hundred sixty".