2260553641920 has 448 divisors, whose sum is σ = 9174372710400. Its totient is φ = 513274060800.

The previous prime is 2260553641909. The next prime is 2260553641943. The reversal of 2260553641920 is 291463550622.

2260553641920 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 553 + 6 + 4 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2260553641920² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9008716 + ... + 9256244.

Almost surely, 2^{2260553641920} is an apocalyptic number.

2260553641920 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 2260553641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587186355200).

2260553641920 is an abundant number, since it is smaller than the sum of its proper divisors (6913819068480).

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

2260553641920 is a wasteful number, since it uses less digits than its factorization.

2260553641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247713 (or 247697 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 2260553641920 in words is "two trillion, two hundred sixty billion, five hundred fifty-three million, six hundred forty-one thousand, nine hundred twenty".