2002135680 has 192 divisors, whose sum is σ = 6953305320. Its totient is φ = 530841600.

The previous prime is 2002135661. The next prime is 2002135691. The reversal of 2002135680 is 865312002.

It can be written as a sum of positive squares in 4 ways, for example, as 957036096 + 1045099584 = 30936^2 + 32328^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2002135680² = 8017094562258124800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1110780 + ... + 1112580.

Almost surely, 2^2002135680 is an apocalyptic number.

2002135680 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 2002135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476652660).

2002135680 is an abundant number, since it is smaller than the sum of its proper divisors (4951169640).

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

2002135680 is a wasteful number, since it uses less digits than its factorization.

2002135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2002135680 is about 44745.2308073162. The cubic root of 2002135680 is about 1260.3693550580.

Adding to 2002135680 its reverse (865312002), we get a palindrome (2867447682).

The spelling of 2002135680 in words is "two billion, two million, one hundred thirty-five thousand, six hundred eighty".