2801461200 has 240 divisors, whose sum is σ = 9206410752. Its totient is φ = 728000000.

The previous prime is 2801461163. The next prime is 2801461231. The reversal of 2801461200 is 21641082.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11161075 + ... + 11161325.

Almost surely, 2^2801461200 is an apocalyptic number.

2801461200 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 2801461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603205376).

2801461200 is an abundant number, since it is smaller than the sum of its proper divisors (6404949552).

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

2801461200 is a wasteful number, since it uses less digits than its factorization.

2801461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2801461200 is about 52928.8314626348. The cubic root of 2801461200 is about 1409.7048826546.

The spelling of 2801461200 in words is "two billion, eight hundred one million, four hundred sixty-one thousand, two hundred".