2032668000 has 768 divisors, whose sum is σ = 8491392000. Its totient is φ = 467712000.

The previous prime is 2032667981. The next prime is 2032668061. The reversal of 2032668000 is 8662302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34451971 + ... + 34452029.

It is an arithmetic number, because the mean of its divisors is an integer number (11056500).

Almost surely, 2^2032668000 is an apocalyptic number.

2032668000 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 2032668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696000).

2032668000 is an abundant number, since it is smaller than the sum of its proper divisors (6458724000).

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

2032668000 is a wasteful number, since it uses less digits than its factorization.

2032668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2032668000 is about 45085.1194963482. The cubic root of 2032668000 is about 1266.7438857203.

The spelling of 2032668000 in words is "two billion, thirty-two million, six hundred sixty-eight thousand".