2614615145142 has 384 divisors, whose sum is σ = 7473699975168. Its totient is φ = 598295174400.

The previous prime is 2614615145123. The next prime is 2614615145179. The reversal of 2614615145142 is 2415415164162.

2614615145142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2614615145094 and 2614615145103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 474777553 + ... + 474783059.

It is an arithmetic number, because the mean of its divisors is an integer number (19462760352).

Almost surely, 2^{2614615145142} is an apocalyptic number.

2614615145142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2614615145142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736849987584).

2614615145142 is an abundant number, since it is smaller than the sum of its proper divisors (4859084830026).

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

2614615145142 is a wasteful number, since it uses less digits than its factorization.

2614615145142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064 (or 6057 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The spelling of 2614615145142 in words is "two trillion, six hundred fourteen billion, six hundred fifteen million, one hundred forty-five thousand, one hundred forty-two".