2142040770624 has 224 divisors, whose sum is σ = 6086527888896. Its totient is φ = 662455459840.

The previous prime is 2142040770599. The next prime is 2142040770629. The reversal of 2142040770624 is 4260770402412.

It is not an unprimeable number, because it can be changed into a prime (2142040770629) 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, 126507439 + ... + 126524369.

It is an arithmetic number, because the mean of its divisors is an integer number (27171999504).

Almost surely, 2^{2142040770624} is an apocalyptic number.

2142040770624 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 2142040770624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043263944448).

2142040770624 is an abundant number, since it is smaller than the sum of its proper divisors (3944487118272).

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

2142040770624 is a wasteful number, since it uses less digits than its factorization.

2142040770624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17513 (or 17503 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The spelling of 2142040770624 in words is "two trillion, one hundred forty-two billion, forty million, seven hundred seventy thousand, six hundred twenty-four".