1640002560 has 264 divisors, whose sum is σ = 6104645280. Its totient is φ = 374685696.

The previous prime is 1640002547. The next prime is 1640002601. The reversal of 1640002560 is 652000461.

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 1640002560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751551 + ... + 753729.

Almost surely, 2^1640002560 is an apocalyptic number.

1640002560 is a gapful number since it is divisible by the number (10) 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 1640002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052322640).

1640002560 is an abundant number, since it is smaller than the sum of its proper divisors (4464642720).

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

1640002560 is a wasteful number, since it uses less digits than its factorization.

1640002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1640002560 is about 40496.9450699679. The cubic root of 1640002560 is about 1179.2743215996.

The spelling of 1640002560 in words is "one billion, six hundred forty million, two thousand, five hundred sixty".