2345153054040 has 160 divisors (see below), whose sum is σ = 7890907068000. Its totient is φ = 624692860416.

The previous prime is 2345153053871. The next prime is 2345153054047. The reversal of 2345153054040 is 404503515432.

2345153054040 is a `hidden beast` number, since 2 + 3 + 45 + 1 + 5 + 30 + 540 + 40 = 666.

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 = 2345153053986 and 2345153054004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345153054047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2583756 + ... + 3371364.

It is an arithmetic number, because the mean of its divisors is an integer number (49318169175).

Almost surely, 2^{2345153054040} is an apocalyptic number.

2345153054040 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 2345153054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945453534000).

2345153054040 is an abundant number, since it is smaller than the sum of its proper divisors (5545754013960).

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

2345153054040 is a wasteful number, since it uses less digits than its factorization.

2345153054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788551 (or 788538 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 2345153054040 its reverse (404503515432), we get a palindrome (2749656569472).

The spelling of 2345153054040 in words is "two trillion, three hundred forty-five billion, one hundred fifty-three million, fifty-four thousand, forty".