2002208366340 has 384 divisors, whose sum is σ = 7678619934720. Its totient is φ = 421780317696.

The previous prime is 2002208366321. The next prime is 2002208366351. The reversal of 2002208366340 is 436638022002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2002208366295 and 2002208366304.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31565337 + ... + 31628703.

It is an arithmetic number, because the mean of its divisors is an integer number (19996406080).

Almost surely, 2^{2002208366340} is an apocalyptic number.

2002208366340 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 2002208366340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839309967360).

2002208366340 is an abundant number, since it is smaller than the sum of its proper divisors (5676411568380).

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

2002208366340 is a wasteful number, since it uses less digits than its factorization.

2002208366340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64048 (or 64040 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2002208366340 in words is "two trillion, two billion, two hundred eight million, three hundred sixty-six thousand, three hundred forty".