2430153144 has 64 divisors (see below), whose sum is σ = 6789549600. Its totient is φ = 805356288.

The previous prime is 2430153109. The next prime is 2430153149. The reversal of 2430153144 is 4413510342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430153149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4852 + ... + 69884.

Almost surely, 2^2430153144 is an apocalyptic number.

2430153144 is a gapful number since it is divisible by the number (24) 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 2430153144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394774800).

2430153144 is an abundant number, since it is smaller than the sum of its proper divisors (4359396456).

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

2430153144 is a wasteful number, since it uses less digits than its factorization.

2430153144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65221 (or 65211 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2430153144 is about 49296.5834921651. The cubic root of 2430153144 is about 1344.4496661824.

Adding to 2430153144 its reverse (4413510342), we get a palindrome (6843663486).

The spelling of 2430153144 in words is "two billion, four hundred thirty million, one hundred fifty-three thousand, one hundred forty-four".