2549284531200 has 2112 divisors, whose sum is σ = 10969755747840. Its totient is φ = 578086502400.

The previous prime is 2549284531193. The next prime is 2549284531207. The reversal of 2549284531200 is 21354829452.

2549284531200 is a `hidden beast` number, since 2 + 5 + 4 + 92 + 8 + 4 + 531 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2549284531193) and next prime (2549284531207).

It is a tau number, because it is divible by the number of its divisors (2112).

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 (2549284531207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15639782319 + ... + 15639782481.

Almost surely, 2^{2549284531200} is an apocalyptic number.

2549284531200 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 2549284531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484877873920).

2549284531200 is an abundant number, since it is smaller than the sum of its proper divisors (8420471216640).

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

2549284531200 is a wasteful number, since it uses less digits than its factorization.

2549284531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2549284531200 in words is "two trillion, five hundred forty-nine billion, two hundred eighty-four million, five hundred thirty-one thousand, two hundred".