2249187153408 has 960 divisors, whose sum is σ = 7779918928320. Its totient is φ = 637232873472.

The previous prime is 2249187153391. The next prime is 2249187153439. The reversal of 2249187153408 is 8043517819422.

2249187153408 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 1 + 87 + 153 + 408 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2400412716 + ... + 2400413652.

It is an arithmetic number, because the mean of its divisors is an integer number (8104082217).

Almost surely, 2^{2249187153408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249187153408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889959464160).

2249187153408 is an abundant number, since it is smaller than the sum of its proper divisors (5530731774912).

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

2249187153408 is a wasteful number, since it uses less digits than its factorization.

2249187153408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2249187153408 in words is "two trillion, two hundred forty-nine billion, one hundred eighty-seven million, one hundred fifty-three thousand, four hundred eight".