2782200960000 has 4400 divisors, whose sum is σ = 14039358867072. Its totient is φ = 530841600000.

The previous prime is 2782200959969. The next prime is 2782200960073. The reversal of 2782200960000 is 690022872.

2782200960000 is a `hidden beast` number, since 27 + 8 + 2 + 20 + 0 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 67858559980 + ... + 67858560020.

Almost surely, 2^{2782200960000} is an apocalyptic number.

2782200960000 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 2782200960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019679433536).

2782200960000 is an abundant number, since it is smaller than the sum of its proper divisors (11257157907072).

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

2782200960000 is a wasteful number, since it uses less digits than its factorization.

2782200960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 2782200960000 its reverse (690022872), we get a palindrome (2782890982872).

The spelling of 2782200960000 in words is "two trillion, seven hundred eighty-two billion, two hundred million, nine hundred sixty thousand".