2681995008 has 648 divisors, whose sum is σ = 9917160960. Its totient is φ = 638668800.

The previous prime is 2681995003. The next prime is 2681995013. The reversal of 2681995008 is 8005991862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2681995003) and next prime (2681995013).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681995003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86515953 + ... + 86515983.

Almost surely, 2^2681995008 is an apocalyptic number.

2681995008 is a gapful number since it is divisible by the number (28) 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 2681995008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958580480).

2681995008 is an abundant number, since it is smaller than the sum of its proper divisors (7235165952).

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

2681995008 is a wasteful number, since it uses less digits than its factorization.

2681995008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 2681995008 is about 51787.9813084078. The cubic root of 2681995008 is about 1389.3744935040.

The spelling of 2681995008 in words is "two billion, six hundred eighty-one million, nine hundred ninety-five thousand, eight".