2251480008960 has 2304 divisors, whose sum is σ = 10614933504000. Its totient is φ = 438581329920.

The previous prime is 2251480008929. The next prime is 2251480008989. The reversal of 2251480008960 is 698000841522.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2449923381 + ... + 2449924299.

It is an arithmetic number, because the mean of its divisors is an integer number (4607176000).

Almost surely, 2^{2251480008960} is an apocalyptic number.

2251480008960 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 2251480008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307466752000).

2251480008960 is an abundant number, since it is smaller than the sum of its proper divisors (8363453495040).

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

2251480008960 is a wasteful number, since it uses less digits than its factorization.

2251480008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2251480008960 in words is "two trillion, two hundred fifty-one billion, four hundred eighty million, eight thousand, nine hundred sixty".