2033537971920 has 1280 divisors, whose sum is σ = 8191155732480. Its totient is φ = 405961113600.

The previous prime is 2033537971859. The next prime is 2033537971981. The reversal of 2033537971920 is 291797353302.

It is an interprime number because it is at equal distance from previous prime (2033537971859) and next prime (2033537971981).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8880078366 + ... + 8880078594.

It is an arithmetic number, because the mean of its divisors is an integer number (6399340416).

Almost surely, 2^{2033537971920} is an apocalyptic number.

2033537971920 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 2033537971920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095577866240).

2033537971920 is an abundant number, since it is smaller than the sum of its proper divisors (6157617760560).

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

2033537971920 is a wasteful number, since it uses less digits than its factorization.

2033537971920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 51.

The spelling of 2033537971920 in words is "two trillion, thirty-three billion, five hundred thirty-seven million, nine hundred seventy-one thousand, nine hundred twenty".