2071016640 has 672 divisors, whose sum is σ = 9210324480. Its totient is φ = 428820480.

The previous prime is 2071016621. The next prime is 2071016671. The reversal of 2071016640 is 466101702.

2071016640 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 0 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 7317939 + ... + 7318221.

It is an arithmetic number, because the mean of its divisors is an integer number (13705840).

Almost surely, 2^2071016640 is an apocalyptic number.

2071016640 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 2071016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605162240).

2071016640 is an abundant number, since it is smaller than the sum of its proper divisors (7139307840).

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

2071016640 is a wasteful number, since it uses less digits than its factorization.

2071016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2071016640 is about 45508.4238355933. The cubic root of 2071016640 is about 1274.6605047661.

The spelling of 2071016640 in words is "two billion, seventy-one million, sixteen thousand, six hundred forty".