1930098240 has 672 divisors, whose sum is σ = 8172541440. Its totient is φ = 427327488.

The previous prime is 1930098221. The next prime is 1930098259. The reversal of 1930098240 is 428900391.

It is an interprime number because it is at equal distance from previous prime (1930098221) and next prime (1930098259).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 1930098195 and 1930098204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19897872 + ... + 19897968.

It is an arithmetic number, because the mean of its divisors is an integer number (12161520).

Almost surely, 2^1930098240 is an apocalyptic number.

1930098240 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 1930098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086270720).

1930098240 is an abundant number, since it is smaller than the sum of its proper divisors (6242443200).

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

1930098240 is a wasteful number, since it uses less digits than its factorization.

1930098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1930098240 is about 43932.8833563198. The cubic root of 1930098240 is about 1245.0681919391.

The spelling of 1930098240 in words is "one billion, nine hundred thirty million, ninety-eight thousand, two hundred forty".