2033987088 has 320 divisors, whose sum is σ = 6634496000. Its totient is φ = 524040192.

The previous prime is 2033987047. The next prime is 2033987093. The reversal of 2033987088 is 8807893302.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 18660378 + ... + 18660486.

It is an arithmetic number, because the mean of its divisors is an integer number (20732800).

Almost surely, 2^2033987088 is an apocalyptic number.

2033987088 is a gapful number since it is divisible by the number (28) 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 2033987088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317248000).

2033987088 is an abundant number, since it is smaller than the sum of its proper divisors (4600508912).

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

2033987088 is a wasteful number, since it uses less digits than its factorization.

2033987088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 2033987088 is about 45099.7459859809. The cubic root of 2033987088 is about 1267.0178418113.

It can be divided in two parts, 2033 and 987088, that added together give a triangular number (989121 = T₁₄₀₆).

The spelling of 2033987088 in words is "two billion, thirty-three million, nine hundred eighty-seven thousand, eighty-eight".