2830386240 has 392 divisors, whose sum is σ = 11033808768. Its totient is φ = 685532160.

The previous prime is 2830386239. The next prime is 2830386263. The reversal of 2830386240 is 426830382.

2830386240 is a `hidden beast` number, since 2 + 8 + 30 + 386 + 240 = 666.

It is a super-2 number, since 2×2830386240² = 16022172535162675200, 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 = 2830386195 and 2830386204.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2565529 + ... + 2566631.

Almost surely, 2^2830386240 is an apocalyptic number.

2830386240 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 2830386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5516904384).

2830386240 is an abundant number, since it is smaller than the sum of its proper divisors (8203422528).

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

2830386240 is a wasteful number, since it uses less digits than its factorization.

2830386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2830386240 is about 53201.3744183362. The cubic root of 2830386240 is about 1414.5400062230.

The spelling of 2830386240 in words is "two billion, eight hundred thirty million, three hundred eighty-six thousand, two hundred forty".