2081607840 has 576 divisors, whose sum is σ = 8400817152. Its totient is φ = 464486400.

The previous prime is 2081607799. The next prime is 2081607841. The reversal of 2081607840 is 487061802.

2081607840 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 607 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2081607795 and 2081607804.

It is not an unprimeable number, because it can be changed into a prime (2081607841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9865335 + ... + 9865545.

It is an arithmetic number, because the mean of its divisors is an integer number (14584752).

Almost surely, 2^2081607840 is an apocalyptic number.

2081607840 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 2081607840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200408576).

2081607840 is an abundant number, since it is smaller than the sum of its proper divisors (6319209312).

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

2081607840 is a wasteful number, since it uses less digits than its factorization.

2081607840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2081607840 is about 45624.6407109141. The cubic root of 2081607840 is about 1276.8296867803.

It can be divided in two parts, 208160 and 7840, that added together give a cube (216000 = 60³).

The spelling of 2081607840 in words is "two billion, eighty-one million, six hundred seven thousand, eight hundred forty".