2252020861440 has 1920 divisors, whose sum is σ = 9811623444480. Its totient is φ = 465813504000.

The previous prime is 2252020861423. The next prime is 2252020861483. The reversal of 2252020861440 is 441680202522.

2252020861440 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 0 + 208 + 6 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2252020861395 and 2252020861404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14344081842 + ... + 14344081998.

It is an arithmetic number, because the mean of its divisors is an integer number (5110220544).

Almost surely, 2^{2252020861440} is an apocalyptic number.

2252020861440 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 2252020861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905811722240).

2252020861440 is an abundant number, since it is smaller than the sum of its proper divisors (7559602583040).

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

2252020861440 is a wasteful number, since it uses less digits than its factorization.

2252020861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 2252020861440 in words is "two trillion, two hundred fifty-two billion, twenty million, eight hundred sixty-one thousand, four hundred forty".