2309153495040 has 1152 divisors, whose sum is σ = 9744243425280. Its totient is φ = 513398145024.

The previous prime is 2309153494939. The next prime is 2309153495071. The reversal of 2309153495040 is 405943519032.

2309153495040 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 153 + 495 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

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, 644473089 + ... + 644476671.

It is an arithmetic number, because the mean of its divisors is an integer number (8458544640).

Almost surely, 2^{2309153495040} is an apocalyptic number.

2309153495040 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 2309153495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872121712640).

2309153495040 is an abundant number, since it is smaller than the sum of its proper divisors (7435089930240).

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

2309153495040 is an equidigital number, since it uses as much as digits as its factorization.

2309153495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 2309153495040 in words is "two trillion, three hundred nine billion, one hundred fifty-three million, four hundred ninety-five thousand, forty".