2801408 has 36 divisors (see below), whose sum is σ = 5788608. Its totient is φ = 1351680.

The previous prime is 2801401. The next prime is 2801431. The reversal of 2801408 is 8041082.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7760 + ... + 8112.

2^2801408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2801408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894304).

2801408 is an abundant number, since it is smaller than the sum of its proper divisors (2987200).

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

2801408 is an equidigital number, since it uses as much as digits as its factorization.

2801408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 2801408 is about 1673.7407206614. The cubic root of 2801408 is about 140.9695959124.

The spelling of 2801408 in words is "two million, eight hundred one thousand, four hundred eight".