2830007040 has 288 divisors, whose sum is σ = 10423418880. Its totient is φ = 640991232.

The previous prime is 2830006997. The next prime is 2830007071. The reversal of 2830007040 is 407000382.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2830007040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3413346 + ... + 3414174.

Almost surely, 2^2830007040 is an apocalyptic number.

2830007040 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 2830007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211709440).

2830007040 is an abundant number, since it is smaller than the sum of its proper divisors (7593411840).

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

2830007040 is a wasteful number, since it uses less digits than its factorization.

2830007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2830007040 is about 53197.8104812595. The cubic root of 2830007040 is about 1414.4768325686.

The spelling of 2830007040 in words is "two billion, eight hundred thirty million, seven thousand, forty".