2981240640 has 336 divisors, whose sum is σ = 12155375232. Its totient is φ = 681302016.

The previous prime is 2981240621. The next prime is 2981240641. The reversal of 2981240640 is 460421892.

2981240640 is a `hidden beast` number, since 2 + 9 + 8 + 1 + 2 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 2981240595 and 2981240604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981240641) 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, 541582 + ... + 547058.

It is an arithmetic number, because the mean of its divisors is an integer number (36176712).

Almost surely, 2^2981240640 is an apocalyptic number.

2981240640 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 2981240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077687616).

2981240640 is an abundant number, since it is smaller than the sum of its proper divisors (9174134592).

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

2981240640 is an equidigital number, since it uses as much as digits as its factorization.

2981240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2981240640 is about 54600.7384565447. The cubic root of 2981240640 is about 1439.2370958890.

The spelling of 2981240640 in words is "two billion, nine hundred eighty-one million, two hundred forty thousand, six hundred forty".