1640245200 has 240 divisors, whose sum is σ = 5764708416. Its totient is φ = 395366400.

The previous prime is 1640245181. The next prime is 1640245213. The reversal of 1640245200 is 25420461.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1640245200² = 5380808632246080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4131402 + ... + 4131798.

Almost surely, 2^1640245200 is an apocalyptic number.

1640245200 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 1640245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882354208).

1640245200 is an abundant number, since it is smaller than the sum of its proper divisors (4124463216).

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

1640245200 is a wasteful number, since it uses less digits than its factorization.

1640245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1640245200 is about 40499.9407406974. The cubic root of 1640245200 is about 1179.3324769989.

Adding to 1640245200 its reverse (25420461), we get a palindrome (1665665661).

The spelling of 1640245200 in words is "one billion, six hundred forty million, two hundred forty-five thousand, two hundred".