2335340574048 has 288 divisors, whose sum is σ = 7091246131200. Its totient is φ = 670156333056.

The previous prime is 2335340574041. The next prime is 2335340574089. The reversal of 2335340574048 is 8404750435332.

2335340574048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2335340574048² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2335340573988 and 2335340574006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2335340574041) 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, 15210561 + ... + 15363327.

It is an arithmetic number, because the mean of its divisors is an integer number (24622382400).

Almost surely, 2^{2335340574048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2335340574048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545623065600).

2335340574048 is an abundant number, since it is smaller than the sum of its proper divisors (4755905557152).

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

2335340574048 is a wasteful number, since it uses less digits than its factorization.

2335340574048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152862 (or 152837 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 2335340574048 in words is "two trillion, three hundred thirty-five billion, three hundred forty million, five hundred seventy-four thousand, forty-eight".