2310402000440 has 128 divisors (see below), whose sum is σ = 5386612492800. Its totient is φ = 891258708480.

The previous prime is 2310402000419. The next prime is 2310402000443. The reversal of 2310402000440 is 440002040132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2310402000443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305645381 + ... + 305652939.

It is an arithmetic number, because the mean of its divisors is an integer number (42082910100).

Almost surely, 2^{2310402000440} is an apocalyptic number.

2310402000440 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 2310402000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693306246400).

2310402000440 is an abundant number, since it is smaller than the sum of its proper divisors (3076210492360).

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

2310402000440 is a wasteful number, since it uses less digits than its factorization.

2310402000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9837 (or 9833 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2310402000440 its reverse (440002040132), we get a palindrome (2750404040572).

The spelling of 2310402000440 in words is "two trillion, three hundred ten billion, four hundred two million, four hundred forty", and thus it is an aban number.