2126215751000 has 384 divisors, whose sum is σ = 5627953094400. Its totient is φ = 750920192000.

The previous prime is 2126215750987. The next prime is 2126215751027. The reversal of 2126215751000 is 1575126212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 779117636 + ... + 779120364.

It is an arithmetic number, because the mean of its divisors is an integer number (14656127850).

Almost surely, 2^{2126215751000} is an apocalyptic number.

2126215751000 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 2126215751000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813976547200).

2126215751000 is an abundant number, since it is smaller than the sum of its proper divisors (3501737343400).

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

2126215751000 is a wasteful number, since it uses less digits than its factorization.

2126215751000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The spelling of 2126215751000 in words is "two trillion, one hundred twenty-six billion, two hundred fifteen million, seven hundred fifty-one thousand".