2782379980800 has 1152 divisors, whose sum is σ = 11734348953600. Its totient is φ = 633028608000.

The previous prime is 2782379980763. The next prime is 2782379980841. The reversal of 2782379980800 is 80899732872.

It is a happy number.

2782379980800 is a `hidden beast` number, since 27 + 82 + 379 + 98 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2622412270 + ... + 2622413330.

It is an arithmetic number, because the mean of its divisors is an integer number (10186066800).

Almost surely, 2^{2782379980800} is an apocalyptic number.

2782379980800 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 2782379980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867174476800).

2782379980800 is an abundant number, since it is smaller than the sum of its proper divisors (8951968972800).

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

2782379980800 is a wasteful number, since it uses less digits than its factorization.

2782379980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 2782379980800 in words is "two trillion, seven hundred eighty-two billion, three hundred seventy-nine million, nine hundred eighty thousand, eight hundred".