2166750144 has 252 divisors, whose sum is σ = 7004559016. Its totient is φ = 636539904.

The previous prime is 2166750137. The next prime is 2166750151. The reversal of 2166750144 is 4410576612.

2166750144 = 437³ + 438³ + ... + 460³.

It is an interprime number because it is at equal distance from previous prime (2166750137) and next prime (2166750151).

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

It is a junction number, because it is equal to n+sod(n) for n = 2166750099 and 2166750108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3960879 + ... + 3961425.

Almost surely, 2^2166750144 is an apocalyptic number.

2166750144 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 2166750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502279508).

2166750144 is an abundant number, since it is smaller than the sum of its proper divisors (4837808872).

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

2166750144 is a wasteful number, since it uses less digits than its factorization.

2166750144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2166750144 is about 46548.3634943271. The cubic root of 2166750144 is about 1294.0059641698.

The spelling of 2166750144 in words is "two billion, one hundred sixty-six million, seven hundred fifty thousand, one hundred forty-four".