2547380100096 has 528 divisors, whose sum is σ = 8257465681920. Its totient is φ = 751047966720.

The previous prime is 2547380100077. The next prime is 2547380100101. The reversal of 2547380100096 is 6900010837452.

2547380100096 is a `hidden beast` number, since 2 + 5 + 473 + 80 + 10 + 0 + 0 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382543615 + ... + 382550273.

It is a 1-persistent number, because it is pandigital, but 2⋅2547380100096 = 5094760200192 is not.

Almost surely, 2^{2547380100096} is an apocalyptic number.

2547380100096 is a gapful number since it is divisible by the number (26) 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 2547380100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128732840960).

2547380100096 is an abundant number, since it is smaller than the sum of its proper divisors (5710085581824).

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

2547380100096 is a wasteful number, since it uses less digits than its factorization.

2547380100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832 (or 6811 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2547380100096 in words is "two trillion, five hundred forty-seven billion, three hundred eighty million, one hundred thousand, ninety-six".