2602084505000 has 80 divisors (see below), whose sum is σ = 6097348224000. Its totient is φ = 1040720408000.

The previous prime is 2602084504979. The next prime is 2602084505023. The reversal of 2602084505000 is 5054802062.

It is a super-2 number, since 2×2602084505000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57572411 + ... + 57617589.

It is an arithmetic number, because the mean of its divisors is an integer number (76216852800).

Almost surely, 2^{2602084505000} is an apocalyptic number.

2602084505000 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 2602084505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048674112000).

2602084505000 is an abundant number, since it is smaller than the sum of its proper divisors (3495263719000).

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

2602084505000 is a wasteful number, since it uses less digits than its factorization.

2602084505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56724 (or 56705 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 2602084505000 in words is "two trillion, six hundred two billion, eighty-four million, five hundred five thousand".