2251406868480 has 1536 divisors, whose sum is σ = 9893037772800. Its totient is φ = 460062720000.

The previous prime is 2251406868461. The next prime is 2251406868629. The reversal of 2251406868480 is 848686041522.

2251406868480 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 40 + 68 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8969748355 + ... + 8969748605.

It is an arithmetic number, because the mean of its divisors is an integer number (6440779800).

Almost surely, 2^{2251406868480} is an apocalyptic number.

2251406868480 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 2251406868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946518886400).

2251406868480 is an abundant number, since it is smaller than the sum of its proper divisors (7641630904320).

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

2251406868480 is a wasteful number, since it uses less digits than its factorization.

2251406868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 2251406868480 in words is "two trillion, two hundred fifty-one billion, four hundred six million, eight hundred sixty-eight thousand, four hundred eighty".