2802082668 has 144 divisors (see below), whose sum is σ = 8436379392. Its totient is φ = 708048000.

The previous prime is 2802082651. The next prime is 2802082687. The reversal of 2802082668 is 8662802082.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372343 + ... + 379793.

It is an arithmetic number, because the mean of its divisors is an integer number (58585968).

Almost surely, 2^2802082668 is an apocalyptic number.

2802082668 is a gapful number since it is divisible by the number (28) 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 2802082668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218189696).

2802082668 is an abundant number, since it is smaller than the sum of its proper divisors (5634296724).

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

2802082668 is a wasteful number, since it uses less digits than its factorization.

2802082668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7524 (or 7511 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 2802082668 is about 52934.7019260523. The cubic root of 2802082668 is about 1409.8091165569.

The spelling of 2802082668 in words is "two billion, eight hundred two million, eighty-two thousand, six hundred sixty-eight".