2801930040 has 576 divisors, whose sum is σ = 11711044800. Its totient is φ = 565678080.

The previous prime is 2801930039. The next prime is 2801930041. The reversal of 2801930040 is 400391082.

It is an interprime number because it is at equal distance from previous prime (2801930039) and next prime (2801930041).

It is a junction number, because it is equal to n+sod(n) for n = 2801929986 and 2801930013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801930041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31482316 + ... + 31482404.

It is an arithmetic number, because the mean of its divisors is an integer number (20331675).

Almost surely, 2^2801930040 is an apocalyptic number.

2801930040 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 2801930040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855522400).

2801930040 is an abundant number, since it is smaller than the sum of its proper divisors (8909114760).

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

2801930040 is a wasteful number, since it uses less digits than its factorization.

2801930040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2801930040 is about 52933.2602434424. The cubic root of 2801930040 is about 1409.7835189000.

The spelling of 2801930040 in words is "two billion, eight hundred one million, nine hundred thirty thousand, forty".