2601123840 has 540 divisors, whose sum is σ = 10848001626. Its totient is φ = 594542592.

The previous prime is 2601123839. The next prime is 2601123841. The reversal of 2601123840 is 483211062.

2601123840 is a `hidden beast` number, since 2 + 601 + 12 + 3 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2601123839) and next prime (2601123841).

It can be written as a sum of positive squares in only one way, i.e., 2341011456 + 260112384 = 48384^2 + 16128^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2601123841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 371589117 + ... + 371589123.

Almost surely, 2^2601123840 is an apocalyptic number.

2601123840 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 2601123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424000813).

2601123840 is an abundant number, since it is smaller than the sum of its proper divisors (8246877786).

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

2601123840 is an frugal number, since it uses more digits than its factorization.

2601123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2601123840 is about 51001.2141031956. The cubic root of 2601123840 is about 1375.2669612781.

The spelling of 2601123840 in words is "two billion, six hundred one million, one hundred twenty-three thousand, eight hundred forty".