2981211240 has 192 divisors, whose sum is σ = 10686614400. Its totient is φ = 651695616.

The previous prime is 2981211227. The next prime is 2981211251. The reversal of 2981211240 is 421121892.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2981211198 and 2981211207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441006 + ... + 447714.

It is an arithmetic number, because the mean of its divisors is an integer number (55659450).

Almost surely, 2^2981211240 is an apocalyptic number.

2981211240 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 2981211240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343307200).

2981211240 is an abundant number, since it is smaller than the sum of its proper divisors (7705403160).

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

2981211240 is a wasteful number, since it uses less digits than its factorization.

2981211240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6776 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 2981211240 is about 54600.4692287530. The cubic root of 2981211240 is about 1439.2323647815.

The spelling of 2981211240 in words is "two billion, nine hundred eighty-one million, two hundred eleven thousand, two hundred forty".