2901819840 has 224 divisors, whose sum is σ = 10121310720. Its totient is φ = 701116416.

The previous prime is 2901819803. The next prime is 2901819857. The reversal of 2901819840 is 489181092.

It is a junction number, because it is equal to n+sod(n) for n = 2901819792 and 2901819801.

It is a congruent number.

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, 416062 + ... + 422978.

Almost surely, 2^2901819840 is an apocalyptic number.

2901819840 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 2901819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060655360).

2901819840 is an abundant number, since it is smaller than the sum of its proper divisors (7219490880).

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

2901819840 is a wasteful number, since it uses less digits than its factorization.

2901819840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6979 (or 6969 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 2901819840 is about 53868.5422115728. The cubic root of 2901819840 is about 1426.3413802114.

The spelling of 2901819840 in words is "two billion, nine hundred one million, eight hundred nineteen thousand, eight hundred forty".