2926480550400 has 2880 divisors, whose sum is σ = 12766222909440. Its totient is φ = 632586240000.

The previous prime is 2926480550353. The next prime is 2926480550401. The reversal of 2926480550400 is 40550846292.

2926480550400 is a `hidden beast` number, since 2 + 9 + 2 + 64 + 80 + 5 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (2926480550401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37044057561 + ... + 37044057639.

It is an arithmetic number, because the mean of its divisors is an integer number (4432716288).

Almost surely, 2^{2926480550400} is an apocalyptic number.

2926480550400 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 2926480550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383111454720).

2926480550400 is an abundant number, since it is smaller than the sum of its proper divisors (9839742359040).

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

2926480550400 is a wasteful number, since it uses less digits than its factorization.

2926480550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 195 counting only the distinct ones).

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

The spelling of 2926480550400 in words is "two trillion, nine hundred twenty-six billion, four hundred eighty million, five hundred fifty thousand, four hundred".