2645958124404 has 480 divisors, whose sum is σ = 8765216768000. Its totient is φ = 693078845760.

The previous prime is 2645958124391. The next prime is 2645958124489. The reversal of 2645958124404 is 4044218595462.

2645958124404 is a `hidden beast` number, since 2 + 6 + 4 + 59 + 581 + 2 + 4 + 4 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 65436537 + ... + 65476959.

Almost surely, 2^{2645958124404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2645958124404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382608384000).

2645958124404 is an abundant number, since it is smaller than the sum of its proper divisors (6119258643596).

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

2645958124404 is a wasteful number, since it uses less digits than its factorization.

2645958124404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40510 (or 40485 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 2645958124404 in words is "two trillion, six hundred forty-five billion, nine hundred fifty-eight million, one hundred twenty-four thousand, four hundred four".