2028691200 has 216 divisors, whose sum is σ = 6747759088. Its totient is φ = 536739840.

The previous prime is 2028691183. The next prime is 2028691211. The reversal of 2028691200 is 21968202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3014064 + ... + 3014736.

Almost surely, 2^2028691200 is an apocalyptic number.

2028691200 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 2028691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373879544).

2028691200 is an abundant number, since it is smaller than the sum of its proper divisors (4719067888).

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

2028691200 is a wasteful number, since it uses less digits than its factorization.

2028691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2028691200 is about 45040.9946604202. The cubic root of 2028691200 is about 1265.9172421314.

It can be divided in two parts, 2028 and 691200, that multiplied together give a square (1401753600 = 37440²).

The spelling of 2028691200 in words is "two billion, twenty-eight million, six hundred ninety-one thousand, two hundred".