2590946784342 has 96 divisors (see below), whose sum is σ = 6593042164800. Its totient is φ = 719829483264.

The previous prime is 2590946784247. The next prime is 2590946784353. The reversal of 2590946784342 is 2434876490952.

2590946784342 is a `hidden beast` number, since 2 + 5 + 90 + 9 + 46 + 78 + 434 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2590946784342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7614384 + ... + 7947372.

It is an arithmetic number, because the mean of its divisors is an integer number (68677522550).

Almost surely, 2^{2590946784342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2590946784342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296521082400).

2590946784342 is an abundant number, since it is smaller than the sum of its proper divisors (4002095380458).

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

2590946784342 is a wasteful number, since it uses less digits than its factorization.

2590946784342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334710 (or 334707 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 2590946784342 in words is "two trillion, five hundred ninety billion, nine hundred forty-six million, seven hundred eighty-four thousand, three hundred forty-two".