1802822268240 has 1920 divisors, whose sum is σ = 8191347720192. Its totient is φ = 358676398080.

The previous prime is 1802822268227. The next prime is 1802822268259. The reversal of 1802822268240 is 428622282081.

1802822268240 is a `hidden beast` number, since 180 + 2 + 8 + 2 + 226 + 8 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1649425134 + ... + 1649426226.

Almost surely, 2^{1802822268240} is an apocalyptic number.

1802822268240 is a gapful number since it is divisible by the number (10) 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 1802822268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095673860096).

1802822268240 is an abundant number, since it is smaller than the sum of its proper divisors (6388525451952).

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

1802822268240 is a wasteful number, since it uses less digits than its factorization.

1802822268240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 1802822268240 in words is "one trillion, eight hundred two billion, eight hundred twenty-two million, two hundred sixty-eight thousand, two hundred forty".