2395053642240 has 960 divisors, whose sum is σ = 9935821209600. Its totient is φ = 532580106240.

The previous prime is 2395053642217. The next prime is 2395053642253. The reversal of 2395053642240 is 422463505932.

2395053642240 is a `hidden beast` number, since 2 + 3 + 9 + 50 + 536 + 4 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 292396545 + ... + 292404735.

It is an arithmetic number, because the mean of its divisors is an integer number (10349813760).

Almost surely, 2^{2395053642240} is an apocalyptic number.

2395053642240 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 2395053642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967910604800).

2395053642240 is an abundant number, since it is smaller than the sum of its proper divisors (7540767567360).

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

2395053642240 is an equidigital number, since it uses as much as digits as its factorization.

2395053642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8278 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 2395053642240 in words is "two trillion, three hundred ninety-five billion, fifty-three million, six hundred forty-two thousand, two hundred forty".