2801124480 has 256 divisors, whose sum is σ = 11132328960. Its totient is φ = 582021120.

The previous prime is 2801124451. The next prime is 2801124481. The reversal of 2801124480 is 844211082.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2801124481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138367 + ... + 157313.

It is an arithmetic number, because the mean of its divisors is an integer number (43485660).

Almost surely, 2^2801124480 is an apocalyptic number.

2801124480 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 2801124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566164480).

2801124480 is an abundant number, since it is smaller than the sum of its proper divisors (8331204480).

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

2801124480 is a wasteful number, since it uses less digits than its factorization.

2801124480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18987 (or 18975 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2801124480 is about 52925.6504919873. The cubic root of 2801124480 is about 1409.6484008387.

The spelling of 2801124480 in words is "two billion, eight hundred one million, one hundred twenty-four thousand, four hundred eighty".