2681902080 has 792 divisors, whose sum is σ = 11297327496. Its totient is φ = 583925760.

The previous prime is 2681902057. The next prime is 2681902121. The reversal of 2681902080 is 802091862.

2681902080 is a `hidden beast` number, since 268 + 190 + 208 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 322274304 + 2359627776 = 17952^2 + 48576^2 .

It is a tau number, because it is divible by the number of its divisors (792).

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 71 ways as a sum of consecutive naturals, for example, 72483822 + ... + 72483858.

Almost surely, 2^2681902080 is an apocalyptic number.

2681902080 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 2681902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648663748).

2681902080 is an abundant number, since it is smaller than the sum of its proper divisors (8615425416).

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

2681902080 is a wasteful number, since it uses less digits than its factorization.

2681902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2681902080 is about 51787.0841040505. The cubic root of 2681902080 is about 1389.3584465832.

The spelling of 2681902080 in words is "two billion, six hundred eighty-one million, nine hundred two thousand, eighty".