1630304880 has 240 divisors, whose sum is σ = 5515075584. Its totient is φ = 397923840.

The previous prime is 1630304873. The next prime is 1630304891. The reversal of 1630304880 is 884030361.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2685537 + ... + 2686143.

Almost surely, 2^1630304880 is an apocalyptic number.

1630304880 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 1630304880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757537792).

1630304880 is an abundant number, since it is smaller than the sum of its proper divisors (3884770704).

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

1630304880 is a wasteful number, since it uses less digits than its factorization.

1630304880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1630304880 is about 40377.0340664096. The cubic root of 1630304880 is about 1176.9452925219.

It can be divided in two parts, 163030 and 4880, that added together give a triangular number (167910 = T₅₇₉).

The spelling of 1630304880 in words is "one billion, six hundred thirty million, three hundred four thousand, eight hundred eighty".