2506638832020 has 1152 divisors, whose sum is σ = 9135228211200. Its totient is φ = 572896862208.

The previous prime is 2506638831979. The next prime is 2506638832073. The reversal of 2506638832020 is 202388366052.

2506638832020 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 638 + 8 + 3 + 2 + 0 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5982431371 + ... + 5982431789.

It is an arithmetic number, because the mean of its divisors is an integer number (7929885600).

Almost surely, 2^{2506638832020} is an apocalyptic number.

2506638832020 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 2506638832020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567614105600).

2506638832020 is an abundant number, since it is smaller than the sum of its proper divisors (6628589379180).

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

2506638832020 is a wasteful number, since it uses less digits than its factorization.

2506638832020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2506638832020 in words is "two trillion, five hundred six billion, six hundred thirty-eight million, eight hundred thirty-two thousand, twenty".