1630380240 has 120 divisors (see below), whose sum is σ = 5797483848. Its totient is φ = 409190400.

The previous prime is 1630380229. The next prime is 1630380299. The reversal of 1630380240 is 420830361.

It is a happy number.

1630380240 is a `hidden beast` number, since 1 + 630 + 3 + 8 + 0 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 496576656 + 1133803584 = 22284^2 + 33672^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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, 54361 + ... + 78840.

Almost surely, 2^1630380240 is an apocalyptic number.

1630380240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1630380240 is an abundant number, since it is smaller than the sum of its proper divisors (4167103608).

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

1630380240 is a wasteful number, since it uses less digits than its factorization.

1630380240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133237 (or 133228 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1630380240 is about 40377.9672593854. The cubic root of 1630380240 is about 1176.9634268050.

The spelling of 1630380240 in words is "one billion, six hundred thirty million, three hundred eighty thousand, two hundred forty".