2471290920 has 192 divisors, whose sum is σ = 9213160320. Its totient is φ = 562770432.

The previous prime is 2471290919. The next prime is 2471290957. The reversal of 2471290920 is 290921742.

It is a super-2 number, since 2×2471290920² = 12214557622548892800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736687 + ... + 740033.

It is an arithmetic number, because the mean of its divisors is an integer number (47985210).

Almost surely, 2^2471290920 is an apocalyptic number.

2471290920 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 2471290920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606580160).

2471290920 is an abundant number, since it is smaller than the sum of its proper divisors (6741869400).

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

2471290920 is a wasteful number, since it uses less digits than its factorization.

2471290920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2471290920 is about 49712.0802220144. The cubic root of 2471290920 is about 1351.9935649122.

The spelling of 2471290920 in words is "two billion, four hundred seventy-one million, two hundred ninety thousand, nine hundred twenty".