2076330240 has 288 divisors, whose sum is σ = 7478096640. Its totient is φ = 545439744.

The previous prime is 2076330211. The next prime is 2076330287. The reversal of 2076330240 is 420336702.

2076330240 is a `hidden beast` number, since 2 + 0 + 7 + 633 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2076330240² = 8622294531076915200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2522469 + ... + 2523291.

Almost surely, 2^2076330240 is an apocalyptic number.

2076330240 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 2076330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739048320).

2076330240 is an abundant number, since it is smaller than the sum of its proper divisors (5401766400).

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

2076330240 is an equidigital number, since it uses as much as digits as its factorization.

2076330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 2076330240 is about 45566.7668372466. The cubic root of 2076330240 is about 1275.7497044135.

Adding to 2076330240 its reverse (420336702), we get a palindrome (2496666942).

The spelling of 2076330240 in words is "two billion, seventy-six million, three hundred thirty thousand, two hundred forty".