2782905216 has 384 divisors, whose sum is σ = 9585192960. Its totient is φ = 708341760.

The previous prime is 2782905211. The next prime is 2782905313. The reversal of 2782905216 is 6125092872.

2782905216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2782905216² = 15489122882480013312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782905211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7582665 + ... + 7583031.

It is an arithmetic number, because the mean of its divisors is an integer number (24961440).

Almost surely, 2^2782905216 is an apocalyptic number.

2782905216 is a gapful number since it is divisible by the number (26) 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 2782905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792596480).

2782905216 is an abundant number, since it is smaller than the sum of its proper divisors (6802287744).

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

2782905216 is a wasteful number, since it uses less digits than its factorization.

2782905216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2782905216 is about 52753.2483928715. The cubic root of 2782905216 is about 1406.5855069736.

The spelling of 2782905216 in words is "two billion, seven hundred eighty-two million, nine hundred five thousand, two hundred sixteen".