2549113428960 has 1008 divisors, whose sum is σ = 10599095684016. Its totient is φ = 577351950336.

The previous prime is 2549113428929. The next prime is 2549113428989. The reversal of 2549113428960 is 698243119452.

It is a happy number.

2549113428960 is a `hidden beast` number, since 2 + 5 + 49 + 113 + 428 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2549113428897 and 2549113428906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 645833707 + ... + 645837653.

It is an arithmetic number, because the mean of its divisors is an integer number (10514975877).

Almost surely, 2^{2549113428960} is an apocalyptic number.

2549113428960 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 2549113428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299547842008).

2549113428960 is an abundant number, since it is smaller than the sum of its proper divisors (8049982255056).

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

2549113428960 is a wasteful number, since it uses less digits than its factorization.

2549113428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2549113428960 in words is "two trillion, five hundred forty-nine billion, one hundred thirteen million, four hundred twenty-eight thousand, nine hundred sixty".