2028551040 has 320 divisors, whose sum is σ = 7331148000. Its totient is φ = 534491136.

The previous prime is 2028551023. The next prime is 2028551051. The reversal of 2028551040 is 401558202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 2028550995 and 2028551013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5650381 + ... + 5650739.

Almost surely, 2^2028551040 is an apocalyptic number.

2028551040 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 2028551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665574000).

2028551040 is an abundant number, since it is smaller than the sum of its proper divisors (5302596960).

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

2028551040 is a wasteful number, since it uses less digits than its factorization.

2028551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2028551040 is about 45039.4387176395. The cubic root of 2028551040 is about 1265.8880878591. Note that the first 3 decimals are identical.

The spelling of 2028551040 in words is "two billion, twenty-eight million, five hundred fifty-one thousand, forty".