2010704640 has 576 divisors, whose sum is σ = 8037335040. Its totient is φ = 418037760.

The previous prime is 2010704629. The next prime is 2010704651. The reversal of 2010704640 is 464070102.

It is an interprime number because it is at equal distance from previous prime (2010704629) and next prime (2010704651).

It is a super-3 number, since 3×2010704640³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2010704640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15832257 + ... + 15832383.

Almost surely, 2^2010704640 is an apocalyptic number.

2010704640 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 2010704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018667520).

2010704640 is an abundant number, since it is smaller than the sum of its proper divisors (6026630400).

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

2010704640 is a wasteful number, since it uses less digits than its factorization.

2010704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2010704640 is about 44840.8813472706. The cubic root of 2010704640 is about 1262.1648849472.

Adding to 2010704640 its reverse (464070102), we get a palindrome (2474774742).

The spelling of 2010704640 in words is "two billion, ten million, seven hundred four thousand, six hundred forty".