2142013554120 has 256 divisors, whose sum is σ = 7455267993600. Its totient is φ = 486873538560.

The previous prime is 2142013554119. The next prime is 2142013554127. The reversal of 2142013554120 is 214553102412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2142013554127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1992517 + ... + 2873003.

It is an arithmetic number, because the mean of its divisors is an integer number (29122140600).

Almost surely, 2^{2142013554120} is an apocalyptic number.

2142013554120 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 2142013554120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727633996800).

2142013554120 is an abundant number, since it is smaller than the sum of its proper divisors (5313254439480).

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

2142013554120 is a wasteful number, since it uses less digits than its factorization.

2142013554120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880628 (or 880624 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 2142013554120 its reverse (214553102412), we get a palindrome (2356566656532).

The spelling of 2142013554120 in words is "two trillion, one hundred forty-two billion, thirteen million, five hundred fifty-four thousand, one hundred twenty".