2830361940 has 288 divisors, whose sum is σ = 10246139904. Its totient is φ = 642453120.

The previous prime is 2830361939. The next prime is 2830361951. The reversal of 2830361940 is 491630382.

2830361940 is a `hidden beast` number, since 2 + 8 + 30 + 3 + 619 + 4 + 0 = 666.

2830361940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2830361940² = 16021897422801127200, which contains 22 as substring.

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 = 2830361895 and 2830361904.

It is a congruent number.

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, 9219267 + ... + 9219573.

Almost surely, 2^2830361940 is an apocalyptic number.

2830361940 is a gapful number since it is divisible by the number (20) 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 2830361940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123069952).

2830361940 is an abundant number, since it is smaller than the sum of its proper divisors (7415777964).

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

2830361940 is a wasteful number, since it uses less digits than its factorization.

2830361940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2830361940 is about 53201.1460402875. The cubic root of 2830361940 is about 1414.5359580805.

The spelling of 2830361940 in words is "two billion, eight hundred thirty million, three hundred sixty-one thousand, nine hundred forty".