2801226240 has 560 divisors, whose sum is σ = 10734134400. Its totient is φ = 698720256.

The previous prime is 2801226209. The next prime is 2801226287. The reversal of 2801226240 is 426221082.

It is a happy number.

2801226240 is a `hidden beast` number, since 28 + 0 + 12 + 2 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 35458521 + ... + 35458599.

Almost surely, 2^2801226240 is an apocalyptic number.

2801226240 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 2801226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367067200).

2801226240 is an abundant number, since it is smaller than the sum of its proper divisors (7932908160).

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

2801226240 is an frugal number, since it uses more digits than its factorization.

2801226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2801226240 is about 52926.6118318564. The cubic root of 2801226240 is about 1409.6654706602.

The spelling of 2801226240 in words is "two billion, eight hundred one million, two hundred twenty-six thousand, two hundred forty".