2091025490400 has 2592 divisors, whose sum is σ = 9720417915936. Its totient is φ = 421521408000.

The previous prime is 2091025490387. The next prime is 2091025490447. The reversal of 2091025490400 is 40945201902.

2091025490400 is a `hidden beast` number, since 2 + 0 + 9 + 102 + 549 + 0 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 28644184764 + ... + 28644184836.

It is an arithmetic number, because the mean of its divisors is an integer number (3750161233).

Almost surely, 2^{2091025490400} is an apocalyptic number.

2091025490400 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 2091025490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860208957968).

2091025490400 is an abundant number, since it is smaller than the sum of its proper divisors (7629392425536).

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

2091025490400 is a wasteful number, since it uses less digits than its factorization.

2091025490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2091025490400 in words is "two trillion, ninety-one billion, twenty-five million, four hundred ninety thousand, four hundred".