2551678424100 has 864 divisors, whose sum is σ = 9286045655040. Its totient is φ = 600228195840.

The previous prime is 2551678424089. The next prime is 2551678424101. The reversal of 2551678424100 is 14248761552.

2551678424100 is a `hidden beast` number, since 2 + 5 + 51 + 6 + 78 + 424 + 100 = 666.

It is a super-2 number, since 2×2551678424100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2551678424101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 922180917 + ... + 922183683.

Almost surely, 2^{2551678424100} is an apocalyptic number.

2551678424100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551678424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643022827520).

2551678424100 is an abundant number, since it is smaller than the sum of its proper divisors (6734367230940).

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

2551678424100 is a wasteful number, since it uses less digits than its factorization.

2551678424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 2551678424100 in words is "two trillion, five hundred fifty-one billion, six hundred seventy-eight million, four hundred twenty-four thousand, one hundred".