1640052288 has 336 divisors, whose sum is σ = 5785737984. Its totient is φ = 433520640.

The previous prime is 1640052287. The next prime is 1640052313. The reversal of 1640052288 is 8822500461.

1640052288 is a `hidden beast` number, since 1 + 640 + 0 + 5 + 2 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (1640052287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4866456 + ... + 4866792.

Almost surely, 2^1640052288 is an apocalyptic number.

1640052288 is a gapful number since it is divisible by the number (18) 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 1640052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892868992).

1640052288 is an abundant number, since it is smaller than the sum of its proper divisors (4145685696).

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

1640052288 is a wasteful number, since it uses less digits than its factorization.

1640052288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1640052288 is about 40497.5590375519. The cubic root of 1640052288 is about 1179.2862407600.

The spelling of 1640052288 in words is "one billion, six hundred forty million, fifty-two thousand, two hundred eighty-eight".