2076088320 has 240 divisors, whose sum is σ = 7444316880. Its totient is φ = 553402368.

The previous prime is 2076088271. The next prime is 2076088369. The reversal of 2076088320 is 238806702.

It is a happy number.

2076088320 is a `hidden beast` number, since 20 + 7 + 608 + 8 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2076088271) and next prime (2076088369).

It is a tau number, because it is divible by the number of its divisors (240).

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 19 ways as a sum of consecutive naturals, for example, 828189 + ... + 830691.

It is an arithmetic number, because the mean of its divisors is an integer number (31017987).

Almost surely, 2^2076088320 is an apocalyptic number.

2076088320 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 2076088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722158440).

2076088320 is an abundant number, since it is smaller than the sum of its proper divisors (5368228560).

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

2076088320 is an equidigital number, since it uses as much as digits as its factorization.

2076088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2076088320 is about 45564.1121936991. The cubic root of 2076088320 is about 1275.7001552378.

The spelling of 2076088320 in words is "two billion, seventy-six million, eighty-eight thousand, three hundred twenty".