2142530427408 has 160 divisors (see below), whose sum is σ = 6341528687616. Its totient is φ = 610608305664.

The previous prime is 2142530427407. The next prime is 2142530427503. The reversal of 2142530427408 is 8047240352412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2142530427408.

It is not an unprimeable number, because it can be changed into a prime (2142530427407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428246635 + ... + 428251637.

Almost surely, 2^{2142530427408} is an apocalyptic number.

2142530427408 is a gapful number since it is divisible by the number (28) 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 2142530427408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170764343808).

2142530427408 is an abundant number, since it is smaller than the sum of its proper divisors (4198998260208).

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

2142530427408 is a wasteful number, since it uses less digits than its factorization.

2142530427408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7981 (or 7975 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 2142530427408 in words is "two trillion, one hundred forty-two billion, five hundred thirty million, four hundred twenty-seven thousand, four hundred eight".