2549441009808 has 1600 divisors, whose sum is σ = 10244656300032. Its totient is φ = 591443804160.

The previous prime is 2549441009783. The next prime is 2549441009833. The reversal of 2549441009808 is 8089001449452.

It is a happy number.

2549441009808 is a `hidden beast` number, since 2 + 54 + 94 + 410 + 0 + 98 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2549441009783) and next prime (2549441009833).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8701163710 + ... + 8701164002.

Almost surely, 2^{2549441009808} is an apocalyptic number.

2549441009808 is a gapful number since it is divisible by the number (28) 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 2549441009808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122328150016).

2549441009808 is an abundant number, since it is smaller than the sum of its proper divisors (7695215290224).

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

2549441009808 is a wasteful number, since it uses less digits than its factorization.

2549441009808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 2549441009808 in words is "two trillion, five hundred forty-nine billion, four hundred forty-one million, nine thousand, eight hundred eight".