2642947400 has 24 divisors (see below), whose sum is σ = 6144853170. Its totient is φ = 1057178880.

The previous prime is 2642947397. The next prime is 2642947403. The reversal of 2642947400 is 47492462.

It is an interprime number because it is at equal distance from previous prime (2642947397) and next prime (2642947403).

It can be written as a sum of positive squares in 3 ways, for example, as 1259256196 + 1383691204 = 35486^2 + 37198^2 .

It is not an unprimeable number, because it can be changed into a prime (2642947403) 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 5 ways as a sum of consecutive naturals, for example, 6607169 + ... + 6607568.

Almost surely, 2^2642947400 is an apocalyptic number.

2642947400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642947400 is an abundant number, since it is smaller than the sum of its proper divisors (3501905770).

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

2642947400 is a wasteful number, since it uses less digits than its factorization.

2642947400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13214753 (or 13214744 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 2642947400 is about 51409.6041610904. The cubic root of 2642947400 is about 1382.5987926267.

The spelling of 2642947400 in words is "two billion, six hundred forty-two million, nine hundred forty-seven thousand, four hundred".