2602366117890 has 512 divisors, whose sum is σ = 8227182182400. Its totient is φ = 521918208000.

The previous prime is 2602366117889. The next prime is 2602366117931. The reversal of 2602366117890 is 987116632062.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 388351540 + ... + 388358240.

It is an arithmetic number, because the mean of its divisors is an integer number (16068715200).

Almost surely, 2^{2602366117890} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2602366117890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113591091200).

2602366117890 is an abundant number, since it is smaller than the sum of its proper divisors (5624816064510).

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

2602366117890 is a wasteful number, since it uses less digits than its factorization.

2602366117890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 2602366117890 in words is "two trillion, six hundred two billion, three hundred sixty-six million, one hundred seventeen thousand, eight hundred ninety".