2261504892528 has 360 divisors, whose sum is σ = 7640394233472. Its totient is φ = 645693939072.

The previous prime is 2261504892523. The next prime is 2261504892533. The reversal of 2261504892528 is 8252984051622.

2261504892528 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 504 + 89 + 2 + 52 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2261504892523) and next prime (2261504892533).

It is a super-2 number, since 2×2261504892528² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261504892523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 351872451 + ... + 351878877.

Almost surely, 2^{2261504892528} is an apocalyptic number.

2261504892528 is a gapful number since it is divisible by the number (28) 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 2261504892528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820197116736).

2261504892528 is an abundant number, since it is smaller than the sum of its proper divisors (5378889340944).

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

2261504892528 is a wasteful number, since it uses less digits than its factorization.

2261504892528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 2261504892528 in words is "two trillion, two hundred sixty-one billion, five hundred four million, eight hundred ninety-two thousand, five hundred twenty-eight".