2546886342 has 256 divisors, whose sum is σ = 7165605888. Its totient is φ = 582266880.

The previous prime is 2546886341. The next prime is 2546886359. The reversal of 2546886342 is 2436886452.

It is a super-2 number, since 2×2546886342² = 12973260078132281928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2546886291 and 2546886300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2546886341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16222128 + ... + 16222284.

It is an arithmetic number, because the mean of its divisors is an integer number (27990648).

Almost surely, 2^2546886342 is an apocalyptic number.

2546886342 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 2546886342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582802944).

2546886342 is an abundant number, since it is smaller than the sum of its proper divisors (4618719546).

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

2546886342 is a wasteful number, since it uses less digits than its factorization.

2546886342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303.

The product of its digits is 2211840, while the sum is 48.

The square root of 2546886342 is about 50466.6854667512. The cubic root of 2546886342 is about 1365.6409200175.

It can be divided in two parts, 2546 and 886342, that added together give a palindrome (888888).

The spelling of 2546886342 in words is "two billion, five hundred forty-six million, eight hundred eighty-six thousand, three hundred forty-two".