2542672100 has 18 divisors (see below), whose sum is σ = 5517598674. Its totient is φ = 1017068800.

The previous prime is 2542672073. The next prime is 2542672109. The reversal of 2542672100 is 12762452.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1705636 + 2540966464 = 1306^2 + 50408^2 .

It is not an unprimeable number, because it can be changed into a prime (2542672109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12713261 + ... + 12713460.

Almost surely, 2^2542672100 is an apocalyptic number.

2542672100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542672100 is an abundant number, since it is smaller than the sum of its proper divisors (2974926574).

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

2542672100 is a wasteful number, since it uses less digits than its factorization.

2542672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25426735 (or 25426728 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 2542672100 is about 50424.9154684467. The cubic root of 2542672100 is about 1364.8872784142.

The spelling of 2542672100 in words is "two billion, five hundred forty-two million, six hundred seventy-two thousand, one hundred".