2581008126000 has 320 divisors, whose sum is σ = 8372553027072. Its totient is φ = 684028800000.

The previous prime is 2581008125999. The next prime is 2581008126029. The reversal of 2581008126000 is 6218001852.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1482485130 + ... + 1482486870.

Almost surely, 2^{2581008126000} is an apocalyptic number.

2581008126000 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 2581008126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186276513536).

2581008126000 is an abundant number, since it is smaller than the sum of its proper divisors (5791544901072).

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

2581008126000 is a wasteful number, since it uses less digits than its factorization.

2581008126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 2581008126000 in words is "two trillion, five hundred eighty-one billion, eight million, one hundred twenty-six thousand".