2261429452800 has 1632 divisors, whose sum is σ = 9725677913600. Its totient is φ = 504511856640.

The previous prime is 2261429452769. The next prime is 2261429452813. The reversal of 2261429452800 is 82549241622.

2261429452800 is a `hidden beast` number, since 2 + 2 + 614 + 2 + 9 + 4 + 5 + 28 + 0 + 0 = 666.

It is a super-2 number, since 2×2261429452800² (a number of 26 digits) contains 22 as substring.

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

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, 20747059146 + ... + 20747059254.

Almost surely, 2^{2261429452800} is an apocalyptic number.

2261429452800 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 2261429452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862838956800).

2261429452800 is an abundant number, since it is smaller than the sum of its proper divisors (7464248460800).

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

2261429452800 is an equidigital number, since it uses as much as digits as its factorization.

2261429452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2261429452800 in words is "two trillion, two hundred sixty-one billion, four hundred twenty-nine million, four hundred fifty-two thousand, eight hundred".