2601146240 has 128 divisors (see below), whose sum is σ = 7752913920. Its totient is φ = 810731520.

The previous prime is 2601146221. The next prime is 2601146257. The reversal of 2601146240 is 426411062.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2601146240² = 13531923523732275200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22889 + ... + 75671.

It is an arithmetic number, because the mean of its divisors is an integer number (60569640).

Almost surely, 2^2601146240 is an apocalyptic number.

2601146240 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 2601146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876456960).

2601146240 is an abundant number, since it is smaller than the sum of its proper divisors (5151767680).

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

2601146240 is a wasteful number, since it uses less digits than its factorization.

2601146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52820 (or 52808 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2601146240 is about 51001.4337053381. The cubic root of 2601146240 is about 1375.2709090449.

It can be divided in two parts, 2601 and 146240, that added together give a palindrome (148841).

The spelling of 2601146240 in words is "two billion, six hundred one million, one hundred forty-six thousand, two hundred forty".