2142733824 has 600 divisors, whose sum is σ = 8165716944. Its totient is φ = 547430400.

The previous prime is 2142733811. The next prime is 2142733837. The reversal of 2142733824 is 4283372412.

It is a happy number.

2142733824 is a `hidden beast` number, since 2 + 1 + 4 + 273 + 382 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2142733811) and next prime (2142733837).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (64512) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35126754 + ... + 35126814.

Almost surely, 2^2142733824 is an apocalyptic number.

2142733824 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 2142733824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082858472).

2142733824 is an abundant number, since it is smaller than the sum of its proper divisors (6022983120).

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

2142733824 is an equidigital number, since it uses as much as digits as its factorization.

2142733824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 2142733824 is about 46289.6729735694. The cubic root of 2142733824 is about 1289.2072576636.

The spelling of 2142733824 in words is "two billion, one hundred forty-two million, seven hundred thirty-three thousand, eight hundred twenty-four".