2252133624240 has 120 divisors (see below), whose sum is σ = 7659155050560. Its totient is φ = 592966812672.

The previous prime is 2252133624203. The next prime is 2252133624241. The reversal of 2252133624240 is 424263312522.

2252133624240 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 1 + 3 + 3 + 624 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2252133624240² (a number of 26 digits) contains 22 as substring.

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 = 2252133624195 and 2252133624204.

It is not an unprimeable number, because it can be changed into a prime (2252133624241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19740357 + ... + 19854116.

It is an arithmetic number, because the mean of its divisors is an integer number (63826292088).

Almost surely, 2^{2252133624240} is an apocalyptic number.

2252133624240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252133624240 is an abundant number, since it is smaller than the sum of its proper divisors (5407021426320).

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

2252133624240 is a wasteful number, since it uses less digits than its factorization.

2252133624240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39594571 (or 39594562 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 2252133624240 its reverse (424263312522), we get a palindrome (2676396936762).

The spelling of 2252133624240 in words is "two trillion, two hundred fifty-two billion, one hundred thirty-three million, six hundred twenty-four thousand, two hundred forty".