2612142060 has 96 divisors (see below), whose sum is σ = 7988827392. Its totient is φ = 632459520.

The previous prime is 2612142019. The next prime is 2612142083. The reversal of 2612142060 is 602412162.

It is a super-3 number, since 3×2612142060³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2612142060.

It is an unprimeable number.

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, 666627 + ... + 670533.

It is an arithmetic number, because the mean of its divisors is an integer number (83216952).

Almost surely, 2^2612142060 is an apocalyptic number.

2612142060 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 2612142060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994413696).

2612142060 is an abundant number, since it is smaller than the sum of its proper divisors (5376685332).

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

2612142060 is a wasteful number, since it uses less digits than its factorization.

2612142060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2612142060 is about 51109.1191471737. The cubic root of 2612142060 is about 1377.2060780245.

The spelling of 2612142060 in words is "two billion, six hundred twelve million, one hundred forty-two thousand, sixty".