2361295440 has 240 divisors, whose sum is σ = 9103131648. Its totient is φ = 537329664.

The previous prime is 2361295439. The next prime is 2361295457. The reversal of 2361295440 is 445921632.

It is a happy number.

2361295440 is a `hidden beast` number, since 2 + 361 + 295 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2361295395 and 2361295404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294369 + ... + 1296191.

Almost surely, 2^2361295440 is an apocalyptic number.

2361295440 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 2361295440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551565824).

2361295440 is an abundant number, since it is smaller than the sum of its proper divisors (6741836208).

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

2361295440 is a wasteful number, since it uses less digits than its factorization.

2361295440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2361295440 is about 48593.1624819789. The cubic root of 2361295440 is about 1331.6296078056.

The spelling of 2361295440 in words is "two billion, three hundred sixty-one million, two hundred ninety-five thousand, four hundred forty".