2476471272 has 256 divisors, whose sum is σ = 7385886720. Its totient is φ = 684288000.

The previous prime is 2476471253. The next prime is 2476471273. The reversal of 2476471272 is 2721746742.

It is a super-2 number, since 2×2476471272² = 12265819922082595968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2476471273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16400397 + ... + 16400547.

It is an arithmetic number, because the mean of its divisors is an integer number (28851120).

Almost surely, 2^2476471272 is an apocalyptic number.

2476471272 is a gapful number since it is divisible by the number (22) 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 2476471272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692943360).

2476471272 is an abundant number, since it is smaller than the sum of its proper divisors (4909415448).

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

2476471272 is a wasteful number, since it uses less digits than its factorization.

2476471272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

The product of its digits is 263424, while the sum is 42.

The square root of 2476471272 is about 49764.1564984277. The cubic root of 2476471272 is about 1352.9375943912.

The spelling of 2476471272 in words is "two billion, four hundred seventy-six million, four hundred seventy-one thousand, two hundred seventy-two".