2269858501152 has 192 divisors, whose sum is σ = 7223946145920. Its totient is φ = 687676953600.

The previous prime is 2269858501133. The next prime is 2269858501153. The reversal of 2269858501152 is 2511058589622.

2269858501152 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 8 + 585 + 0 + 1 + 1 + 52 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2269858501153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44957202 + ... + 45007662.

It is an arithmetic number, because the mean of its divisors is an integer number (37624719510).

Almost surely, 2^{2269858501152} is an apocalyptic number.

2269858501152 is a gapful number since it is divisible by the number (22) 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 2269858501152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611973072960).

2269858501152 is an abundant number, since it is smaller than the sum of its proper divisors (4954087644768).

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

2269858501152 is a wasteful number, since it uses less digits than its factorization.

2269858501152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55224 (or 55210 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 2269858501152 in words is "two trillion, two hundred sixty-nine billion, eight hundred fifty-eight million, five hundred one thousand, one hundred fifty-two".