2801013120 has 288 divisors, whose sum is σ = 9940067280. Its totient is φ = 726792192.

The previous prime is 2801013107. The next prime is 2801013121. The reversal of 2801013120 is 213101082.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2801013093 and 2801013102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801013121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10650109 + ... + 10650371.

Almost surely, 2^2801013120 is an apocalyptic number.

2801013120 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 2801013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970033640).

2801013120 is an abundant number, since it is smaller than the sum of its proper divisors (7139054160).

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

2801013120 is a wasteful number, since it uses less digits than its factorization.

2801013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2801013120 is about 52924.5984396670. The cubic root of 2801013120 is about 1409.6297201830.

The spelling of 2801013120 in words is "two billion, eight hundred one million, thirteen thousand, one hundred twenty".