2477447742 has 96 divisors (see below), whose sum is σ = 6368094720. Its totient is φ = 635281920.

The previous prime is 2477447683. The next prime is 2477447761.

2477447742 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2477447742² = 12275494628681797128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2477447691 and 2477447700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250638 + ... + 260334.

It is an arithmetic number, because the mean of its divisors is an integer number (66334320).

Almost surely, 2^2477447742 is an apocalyptic number.

2477447742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2477447742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184047360).

2477447742 is an abundant number, since it is smaller than the sum of its proper divisors (3890646978).

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

2477447742 is a wasteful number, since it uses less digits than its factorization.

2477447742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9806 (or 9799 counting only the distinct ones).

The product of its digits is 2458624, while the sum is 48.

The square root of 2477447742 is about 49773.9665086077. The cubic root of 2477447742 is about 1353.1153916451.

The spelling of 2477447742 in words is "two billion, four hundred seventy-seven million, four hundred forty-seven thousand, seven hundred forty-two".