2803221645840 has 1200 divisors, whose sum is σ = 12874533893760. Its totient is φ = 551809843200.

The previous prime is 2803221645803. The next prime is 2803221645841. The reversal of 2803221645840 is 485461223082.

2803221645840 is a `hidden beast` number, since 2 + 8 + 0 + 3 + 2 + 2 + 1 + 64 + 584 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2803221645841) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 104269200 + ... + 104296080.

Almost surely, 2^{2803221645840} is an apocalyptic number.

2803221645840 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 2803221645840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437266946880).

2803221645840 is an abundant number, since it is smaller than the sum of its proper divisors (10071312247920).

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

2803221645840 is a wasteful number, since it uses less digits than its factorization.

2803221645840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26954 (or 26928 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2803221645840 in words is "two trillion, eight hundred three billion, two hundred twenty-one million, six hundred forty-five thousand, eight hundred forty".