1630371840 has 256 divisors, whose sum is σ = 5435735040. Its totient is φ = 416808960.

The previous prime is 1630371781. The next prime is 1630371887. The reversal of 1630371840 is 481730361.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×1630371840² = 5316224673329971200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15237067 + ... + 15237173.

It is an arithmetic number, because the mean of its divisors is an integer number (21233340).

Almost surely, 2^1630371840 is an apocalyptic number.

1630371840 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 1630371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717867520).

1630371840 is an abundant number, since it is smaller than the sum of its proper divisors (3805363200).

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

1630371840 is an equidigital number, since it uses as much as digits as its factorization.

1630371840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1630371840 is about 40377.8632421281. The cubic root of 1630371840 is about 1176.9614054954.

The spelling of 1630371840 in words is "one billion, six hundred thirty million, three hundred seventy-one thousand, eight hundred forty".