2681997120 has 168 divisors, whose sum is σ = 10063703520. Its totient is φ = 650173440.

The previous prime is 2681997119. The next prime is 2681997137. The reversal of 2681997120 is 217991862.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10650 + ... + 74009.

Almost surely, 2^2681997120 is an apocalyptic number.

2681997120 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 2681997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031851760).

2681997120 is an abundant number, since it is smaller than the sum of its proper divisors (7381706400).

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

2681997120 is a wasteful number, since it uses less digits than its factorization.

2681997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84693 (or 84680 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2681997120 is about 51788.0016992353. The cubic root of 2681997120 is about 1389.3748582024.

The spelling of 2681997120 in words is "two billion, six hundred eighty-one million, nine hundred ninety-seven thousand, one hundred twenty".