2363141440 has 336 divisors, whose sum is σ = 6872045184. Its totient is φ = 765952000.

The previous prime is 2363141401. The next prime is 2363141441. The reversal of 2363141440 is 441413632.

It is a junction number, because it is equal to n+sod(n) for n = 2363141399 and 2363141408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2363141441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23397390 + ... + 23397490.

Almost surely, 2^2363141440 is an apocalyptic number.

2363141440 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 2363141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436022592).

2363141440 is an abundant number, since it is smaller than the sum of its proper divisors (4508903744).

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

2363141440 is a wasteful number, since it uses less digits than its factorization.

2363141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2363141440 is about 48612.1532129569. The cubic root of 2363141440 is about 1331.9765286680.

The spelling of 2363141440 in words is "two billion, three hundred sixty-three million, one hundred forty-one thousand, four hundred forty".