2345405133060 has 384 divisors, whose sum is σ = 8499446968320. Its totient is φ = 531212774400.

The previous prime is 2345405132971. The next prime is 2345405133079. The reversal of 2345405133060 is 603315045432.

2345405133060 is a `hidden beast` number, since 2 + 3 + 4 + 54 + 0 + 513 + 30 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5675040 + ... + 6074280.

It is an arithmetic number, because the mean of its divisors is an integer number (22133976480).

Almost surely, 2^{2345405133060} is an apocalyptic number.

2345405133060 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 2345405133060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249723484160).

2345405133060 is an abundant number, since it is smaller than the sum of its proper divisors (6154041835260).

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

2345405133060 is a wasteful number, since it uses less digits than its factorization.

2345405133060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399336 (or 399328 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 2345405133060 in words is "two trillion, three hundred forty-five billion, four hundred five million, one hundred thirty-three thousand, sixty".