2477997742 has 32 divisors (see below), whose sum is σ = 4200789600. Its totient is φ = 1085952000.

The previous prime is 2477997737. The next prime is 2477997749.

2477997742 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2477997742² = 12280945618714197128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2477997749) 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 15 ways as a sum of consecutive naturals, for example, 513742 + ... + 518542.

It is an arithmetic number, because the mean of its divisors is an integer number (131274675).

Almost surely, 2^2477997742 is an apocalyptic number.

2477997742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2477997742 is a deficient number, since it is larger than the sum of its proper divisors (1722791858).

2477997742 is a wasteful number, since it uses less digits than its factorization.

2477997742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652.

The product of its digits is 12446784, while the sum is 58.

The square root of 2477997742 is about 49779.4911785968. The cubic root of 2477997742 is about 1353.2155159769.

The spelling of 2477997742 in words is "two billion, four hundred seventy-seven million, nine hundred ninety-seven thousand, seven hundred forty-two".