2076165000 has 640 divisors, whose sum is σ = 8922144000. Its totient is φ = 438048000.

The previous prime is 2076164963. The next prime is 2076165029. The reversal of 2076165000 is 5616702.

2076165000 is a `hidden beast` number, since 2 + 0 + 7 + 6 + 1 + 650 + 0 + 0 = 666.

It is a super-2 number, since 2×2076165000² = 8620922214450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 159704994 + ... + 159705006.

It is an arithmetic number, because the mean of its divisors is an integer number (13940850).

Almost surely, 2^2076165000 is an apocalyptic number.

2076165000 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 2076165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461072000).

2076165000 is an abundant number, since it is smaller than the sum of its proper divisors (6845979000).

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

2076165000 is an equidigital number, since it uses as much as digits as its factorization.

2076165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2076165000 is about 45564.9536376369. The cubic root of 2076165000 is about 1275.7158609735.

The spelling of 2076165000 in words is "two billion, seventy-six million, one hundred sixty-five thousand".