2821766640000 has 2560 divisors, whose sum is σ = 12355996815360. Its totient is φ = 553512960000.

The previous prime is 2821766639969. The next prime is 2821766640097. The reversal of 2821766640000 is 466671282.

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 319 ways as a sum of consecutive naturals, for example, 42115919967 + ... + 42115920033.

It is an arithmetic number, because the mean of its divisors is an integer number (4826561256).

Almost surely, 2^{2821766640000} is an apocalyptic number.

2821766640000 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 2821766640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177998407680).

2821766640000 is an abundant number, since it is smaller than the sum of its proper divisors (9534230175360).

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

2821766640000 is a wasteful number, since it uses less digits than its factorization.

2821766640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 2821766640000 in words is "two trillion, eight hundred twenty-one billion, seven hundred sixty-six million, six hundred forty thousand".