2413553142 has 128 divisors (see below), whose sum is σ = 6656928768. Its totient is φ = 562982400.

The previous prime is 2413553141. The next prime is 2413553171.

2413553142 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413553141) 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, 216792 + ... + 227652.

It is an arithmetic number, because the mean of its divisors is an integer number (52007256).

Almost surely, 2^2413553142 is an apocalyptic number.

2413553142 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 2413553142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328464384).

2413553142 is an abundant number, since it is smaller than the sum of its proper divisors (4243375626).

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

2413553142 is a wasteful number, since it uses less digits than its factorization.

2413553142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10934.

The product of its digits is 14400, while the sum is 30.

The square root of 2413553142 is about 49127.9262945221. The cubic root of 2413553142 is about 1341.3814264204.

It can be divided in two parts, 24135 and 53142, that added together give a palindrome (77277).

The spelling of 2413553142 in words is "two billion, four hundred thirteen million, five hundred fifty-three thousand, one hundred forty-two".