2471009268 has 192 divisors, whose sum is σ = 7270502400. Its totient is φ = 635931648.

The previous prime is 2471009263. The next prime is 2471009273. The reversal of 2471009268 is 8629001742.

2471009268 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2471009263) and next prime (2471009273).

It is a super-2 number, since 2×2471009268² = 12211773605083791648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2471009263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12417033 + ... + 12417231.

It is an arithmetic number, because the mean of its divisors is an integer number (37867200).

Almost surely, 2^2471009268 is an apocalyptic number.

2471009268 is a gapful number since it is divisible by the number (28) 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 2471009268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635251200).

2471009268 is an abundant number, since it is smaller than the sum of its proper divisors (4799493132).

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

2471009268 is a wasteful number, since it uses less digits than its factorization.

2471009268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2471009268 is about 49709.2473087252. The cubic root of 2471009268 is about 1351.9422009125.

The spelling of 2471009268 in words is "two billion, four hundred seventy-one million, nine thousand, two hundred sixty-eight".