2476813248 has 448 divisors, whose sum is σ = 9444736000. Its totient is φ = 618098688.

The previous prime is 2476813243. The next prime is 2476813253. The reversal of 2476813248 is 8423186742.

It is a happy number.

2476813248 is a `hidden beast` number, since 2 + 476 + 8 + 132 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (2476813243) and next prime (2476813253).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2476813248² = 12269207730936619008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2476813243) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2987298 + ... + 2988126.

It is an arithmetic number, because the mean of its divisors is an integer number (21082000).

Almost surely, 2^2476813248 is an apocalyptic number.

2476813248 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 2476813248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722368000).

2476813248 is an abundant number, since it is smaller than the sum of its proper divisors (6967922752).

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

2476813248 is a wasteful number, since it uses less digits than its factorization.

2476813248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 873 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2476813248 is about 49767.5923468275. The cubic root of 2476813248 is about 1352.9998672573. Note that the first 3 decimals are identical.

The spelling of 2476813248 in words is "two billion, four hundred seventy-six million, eight hundred thirteen thousand, two hundred forty-eight".