2601090298944 has 168 divisors, whose sum is σ = 7578418681080. Its totient is φ = 852843036672.

The previous prime is 2601090298931. The next prime is 2601090298957. The reversal of 2601090298944 is 4498920901062.

2601090298944 is a `hidden beast` number, since 2 + 601 + 0 + 9 + 0 + 29 + 8 + 9 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2601090298931) and next prime (2601090298957).

It can be written as a sum of positive squares in 4 ways, for example, as 203299988544 + 2397790310400 = 450888^2 + 1548480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9762504 + ... + 10025400.

Almost surely, 2^{2601090298944} is an apocalyptic number.

2601090298944 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 2601090298944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789209340540).

2601090298944 is an abundant number, since it is smaller than the sum of its proper divisors (4977328382136).

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

2601090298944 is a wasteful number, since it uses less digits than its factorization.

2601090298944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263197 (or 263184 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 2601090298944 in words is "two trillion, six hundred one billion, ninety million, two hundred ninety-eight thousand, nine hundred forty-four".