2782412156160 has 1440 divisors, whose sum is σ = 12411945047040. Its totient is φ = 579471998976.

The previous prime is 2782412156141. The next prime is 2782412156171. The reversal of 2782412156160 is 616512142872.

2782412156160 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 4 + 1 + 21 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 745353654 + ... + 745357386.

Almost surely, 2^{2782412156160} is an apocalyptic number.

2782412156160 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 2782412156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205972523520).

2782412156160 is an abundant number, since it is smaller than the sum of its proper divisors (9629532890880).

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

2782412156160 is a wasteful number, since it uses less digits than its factorization.

2782412156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2782412156160 in words is "two trillion, seven hundred eighty-two billion, four hundred twelve million, one hundred fifty-six thousand, one hundred sixty".