2890230075936 has 384 divisors, whose sum is σ = 10147866624000. Its totient is φ = 799139416320.

The previous prime is 2890230075911. The next prime is 2890230075983. The reversal of 2890230075936 is 6395700320982.

It is a happy number.

2890230075936 is a `hidden beast` number, since 28 + 9 + 0 + 23 + 0 + 0 + 7 + 593 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9029611 + ... + 9344213.

It is an arithmetic number, because the mean of its divisors is an integer number (26426736000).

Almost surely, 2^{2890230075936} 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 2890230075936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073933312000).

2890230075936 is an abundant number, since it is smaller than the sum of its proper divisors (7257636548064).

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

2890230075936 is a wasteful number, since it uses less digits than its factorization.

2890230075936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314674 (or 314646 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2890230075936 in words is "two trillion, eight hundred ninety billion, two hundred thirty million, seventy-five thousand, nine hundred thirty-six".