2801355840 has 560 divisors, whose sum is σ = 10763292672. Its totient is φ = 689762304.

The previous prime is 2801355793. The next prime is 2801355847. The reversal of 2801355840 is 485531082.

It is a happy number.

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 = 2801355795 and 2801355804.

It is not an unprimeable number, because it can be changed into a prime (2801355847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22057857 + ... + 22057983.

Almost surely, 2^2801355840 is an apocalyptic number.

2801355840 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 2801355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381646336).

2801355840 is an abundant number, since it is smaller than the sum of its proper divisors (7961936832).

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

2801355840 is a wasteful number, since it uses less digits than its factorization.

2801355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2801355840 is about 52927.8361545227. The cubic root of 2801355840 is about 1409.6872099286.

The spelling of 2801355840 in words is "two billion, eight hundred one million, three hundred fifty-five thousand, eight hundred forty".