2335005642420 has 192 divisors, whose sum is σ = 7947582048000. Its totient is φ = 564439518720.

The previous prime is 2335005642353. The next prime is 2335005642421. The reversal of 2335005642420 is 242465005332.

2335005642420 is a `hidden beast` number, since 2 + 3 + 3 + 5 + 0 + 0 + 5 + 642 + 4 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2335005642421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1509882 + ... + 2636238.

It is an arithmetic number, because the mean of its divisors is an integer number (41393656500).

Almost surely, 2^{2335005642420} is an apocalyptic number.

2335005642420 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 2335005642420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973791024000).

2335005642420 is an abundant number, since it is smaller than the sum of its proper divisors (5612576405580).

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

2335005642420 is a wasteful number, since it uses less digits than its factorization.

2335005642420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126735 (or 1126727 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 2335005642420 in words is "two trillion, three hundred thirty-five billion, five million, six hundred forty-two thousand, four hundred twenty".