2301149760 has 672 divisors, whose sum is σ = 9456797952. Its totient is φ = 469647360.

The previous prime is 2301149749. The next prime is 2301149777. The reversal of 2301149760 is 679411032.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32410525 + ... + 32410595.

It is an arithmetic number, because the mean of its divisors is an integer number (14072616).

Almost surely, 2^2301149760 is an apocalyptic number.

2301149760 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 2301149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4728398976).

2301149760 is an abundant number, since it is smaller than the sum of its proper divisors (7155648192).

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

2301149760 is a wasteful number, since it uses less digits than its factorization.

2301149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 2301149760 is about 47970.3008120650. The cubic root of 2301149760 is about 1320.2260402616.

It can be divided in two parts, 23011 and 49760, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 2301149760 in words is "two billion, three hundred one million, one hundred forty-nine thousand, seven hundred sixty".