2594721911040 has 720 divisors, whose sum is σ = 10621999922688. Its totient is φ = 592449748992.

The previous prime is 2594721911011. The next prime is 2594721911057. The reversal of 2594721911040 is 401191274952.

2594721911040 is a `hidden beast` number, since 2 + 59 + 472 + 1 + 91 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1257741049 + ... + 1257743111.

Almost surely, 2^{2594721911040} is an apocalyptic number.

2594721911040 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 2594721911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310999961344).

2594721911040 is an abundant number, since it is smaller than the sum of its proper divisors (8027278011648).

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

2594721911040 is a wasteful number, since it uses less digits than its factorization.

2594721911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 2594721911040 in words is "two trillion, five hundred ninety-four billion, seven hundred twenty-one million, nine hundred eleven thousand, forty".