2878470638100 has 54 divisors (see below), whose sum is σ = 9022406302910. Its totient is φ = 767592169920.

The previous prime is 2878470638053. The next prime is 2878470638101. The reversal of 2878470638100 is 18360748782.

It is a happy number.

2878470638100 is a `hidden beast` number, since 2 + 8 + 7 + 8 + 470 + 63 + 8 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 328610976516 + 2549859661584 = 573246^2 + 1596828^2 .

It is a super-2 number, since 2×2878470638100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2878470638101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1599149455 + ... + 1599151254.

Almost surely, 2^{2878470638100} is an apocalyptic number.

2878470638100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2878470638100 is an abundant number, since it is smaller than the sum of its proper divisors (6143935664810).

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

2878470638100 is a wasteful number, since it uses less digits than its factorization.

2878470638100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198300729 (or 3198300719 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 2878470638100 in words is "two trillion, eight hundred seventy-eight billion, four hundred seventy million, six hundred thirty-eight thousand, one hundred".