2781516983040 has 360 divisors, whose sum is σ = 9963573969888. Its totient is φ = 740933222400.

The previous prime is 2781516982999. The next prime is 2781516983041. The reversal of 2781516983040 is 403896151872.

2781516983040 is a `hidden beast` number, since 2 + 7 + 8 + 1 + 516 + 9 + 83 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2781516983041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98792965 + ... + 98821115.

It is a 1-persistent number, because it is pandigital, but 2⋅2781516983040 = 5563033966080 is not.

Almost surely, 2^{2781516983040} is an apocalyptic number.

2781516983040 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 2781516983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981786984944).

2781516983040 is an abundant number, since it is smaller than the sum of its proper divisors (7182056986848).

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

2781516983040 is an equidigital number, since it uses as much as digits as its factorization.

2781516983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29137 (or 29114 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2781516983040 in words is "two trillion, seven hundred eighty-one billion, five hundred sixteen million, nine hundred eighty-three thousand, forty".