2018907072 has 448 divisors, whose sum is σ = 7523927040. Its totient is φ = 516575232.

The previous prime is 2018907071. The next prime is 2018907101. The reversal of 2018907072 is 2707098102.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2018907072² = 8151971530743226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2018907071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5818003 + ... + 5818349.

It is an arithmetic number, because the mean of its divisors is an integer number (16794480).

Almost surely, 2^2018907072 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 2018907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761963520).

2018907072 is an abundant number, since it is smaller than the sum of its proper divisors (5505019968).

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

2018907072 is a wasteful number, since it uses less digits than its factorization.

2018907072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 2018907072 is about 44932.2497990029. The cubic root of 2018907072 is about 1263.8788406006.

The spelling of 2018907072 in words is "two billion, eighteen million, nine hundred seven thousand, seventy-two".