2142678720 has 224 divisors, whose sum is σ = 8373270528. Its totient is φ = 452063232.

The previous prime is 2142678719. The next prime is 2142678721. The reversal of 2142678720 is 278762412.

It is an interprime number because it is at equal distance from previous prime (2142678719) and next prime (2142678721).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2142678721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75097 + ... + 99623.

It is an arithmetic number, because the mean of its divisors is an integer number (37380672).

Almost surely, 2^2142678720 is an apocalyptic number.

2142678720 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 2142678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186635264).

2142678720 is an abundant number, since it is smaller than the sum of its proper divisors (6230591808).

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

2142678720 is a wasteful number, since it uses less digits than its factorization.

2142678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24567 (or 24557 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 2142678720 is about 46289.0777613899. The cubic root of 2142678720 is about 1289.1962061920.

The spelling of 2142678720 in words is "two billion, one hundred forty-two million, six hundred seventy-eight thousand, seven hundred twenty".