2784981937920 has 864 divisors, whose sum is σ = 11224138383360. Its totient is φ = 583302021120.

The previous prime is 2784981937897. The next prime is 2784981937931. The reversal of 2784981937920 is 297391894872.

2784981937920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2784981937920² (a number of 26 digits) contains 22 as substring.

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, 340001025 + ... + 340009215.

Almost surely, 2^{2784981937920} is an apocalyptic number.

2784981937920 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 2784981937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612069191680).

2784981937920 is an abundant number, since it is smaller than the sum of its proper divisors (8439156445440).

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

2784981937920 is a wasteful number, since it uses less digits than its factorization.

2784981937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8381 (or 8360 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 69.

The spelling of 2784981937920 in words is "two trillion, seven hundred eighty-four billion, nine hundred eighty-one million, nine hundred thirty-seven thousand, nine hundred twenty".