261937234944 has 1408 divisors, whose sum is σ = 1031294976000. Its totient is φ = 65840947200.

The previous prime is 261937234939. The next prime is 261937234969. The reversal of 261937234944 is 449432739162.

261937234944 is a `hidden beast` number, since 2 + 6 + 193 + 72 + 349 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×261937234944² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (7838208) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8449588209 + ... + 8449588239.

Almost surely, 2^261937234944 is an apocalyptic number.

261937234944 is a gapful number since it is divisible by the number (24) 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 261937234944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515647488000).

261937234944 is an abundant number, since it is smaller than the sum of its proper divisors (769357741056).

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

261937234944 is an frugal number, since it uses more digits than its factorization.

261937234944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 54 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 261937234944 in words is "two hundred sixty-one billion, nine hundred thirty-seven million, two hundred thirty-four thousand, nine hundred forty-four".