2430210144 has 48 divisors (see below), whose sum is σ = 6397462512. Its totient is φ = 807763968.

The previous prime is 2430210127. The next prime is 2430210149. The reversal of 2430210144 is 4410120342.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2430210144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430210149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1969 + ... + 69744.

It is an arithmetic number, because the mean of its divisors is an integer number (133280469).

Almost surely, 2^2430210144 is an apocalyptic number.

2430210144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2430210144 is an abundant number, since it is smaller than the sum of its proper divisors (3967252368).

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

2430210144 is a wasteful number, since it uses less digits than its factorization.

2430210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72079 (or 72071 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2430210144 is about 49297.1616221462. The cubic root of 2430210144 is about 1344.4601775957.

Adding to 2430210144 its reverse (4410120342), we get a palindrome (6840330486).

The spelling of 2430210144 in words is "two billion, four hundred thirty million, two hundred ten thousand, one hundred forty-four".