2981117952 has 240 divisors, whose sum is σ = 9248158080. Its totient is φ = 947257344.

The previous prime is 2981117941. The next prime is 2981117963. The reversal of 2981117952 is 2597111892.

It is an interprime number because it is at equal distance from previous prime (2981117941) and next prime (2981117963).

It is a junction number, because it is equal to n+sod(n) for n = 2981117898 and 2981117907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10174318 + ... + 10174610.

It is an arithmetic number, because the mean of its divisors is an integer number (38533992).

Almost surely, 2^2981117952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2981117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624079040).

2981117952 is an abundant number, since it is smaller than the sum of its proper divisors (6267040128).

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

2981117952 is an equidigital number, since it uses as much as digits as its factorization.

2981117952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 321 counting only the distinct ones).

The product of its digits is 90720, while the sum is 45.

The square root of 2981117952 is about 54599.6149436972. The cubic root of 2981117952 is about 1439.2173524818.

The spelling of 2981117952 in words is "two billion, nine hundred eighty-one million, one hundred seventeen thousand, nine hundred fifty-two".