2476981260 has 288 divisors, whose sum is σ = 8698015872. Its totient is φ = 565125120.

The previous prime is 2476981249. The next prime is 2476981279. The reversal of 2476981260 is 621896742.

2476981260 = 4200² + 4201² + ... + 4335².

It is a happy number.

It is a super-2 number, since 2×2476981260² = 12270872324782375200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2823942 + ... + 2824818.

It is an arithmetic number, because the mean of its divisors is an integer number (30201444).

Almost surely, 2^2476981260 is an apocalyptic number.

2476981260 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 2476981260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349007936).

2476981260 is an abundant number, since it is smaller than the sum of its proper divisors (6221034612).

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

2476981260 is a wasteful number, since it uses less digits than its factorization.

2476981260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2476981260 is about 49769.2802841271. The cubic root of 2476981260 is about 1353.0304596693.

The spelling of 2476981260 in words is "two billion, four hundred seventy-six million, nine hundred eighty-one thousand, two hundred sixty".