2430121140 has 72 divisors (see below), whose sum is σ = 7385800968. Its totient is φ = 646763520.

The previous prime is 2430121129. The next prime is 2430121171. The reversal of 2430121140 is 411210342.

It can be written as a sum of positive squares in 4 ways, for example, as 171400464 + 2258720676 = 13092^2 + 47526^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80824 + ... + 106736.

It is an arithmetic number, because the mean of its divisors is an integer number (102580569).

Almost surely, 2^2430121140 is an apocalyptic number.

2430121140 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 2430121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692900484).

2430121140 is an abundant number, since it is smaller than the sum of its proper divisors (4955679828).

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

2430121140 is a wasteful number, since it uses less digits than its factorization.

2430121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26449 (or 26444 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2430121140 is about 49296.2588844225. The cubic root of 2430121140 is about 1344.4437642285.

Adding to 2430121140 its reverse (411210342), we get a palindrome (2841331482).

The spelling of 2430121140 in words is "two billion, four hundred thirty million, one hundred twenty-one thousand, one hundred forty".