2007198144 has 140 divisors (see below), whose sum is σ = 6800081904. Its totient is φ = 573474816.

The previous prime is 2007198119. The next prime is 2007198169. The reversal of 2007198144 is 4418917002.

2007198144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2007198119) and next prime (2007198169).

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

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 2007198099 and 2007198108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8632 + ... + 63944.

Almost surely, 2^2007198144 is an apocalyptic number.

2007198144 is a gapful number since it is divisible by the number (24) 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 2007198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400040952).

2007198144 is an abundant number, since it is smaller than the sum of its proper divisors (4792883760).

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

2007198144 is an equidigital number, since it uses as much as digits as its factorization.

2007198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55344 (or 55325 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2007198144 is about 44801.7649652332. The cubic root of 2007198144 is about 1261.4307556852.

The spelling of 2007198144 in words is "two billion, seven million, one hundred ninety-eight thousand, one hundred forty-four".