2028953340 has 96 divisors (see below), whose sum is σ = 6446684160. Its totient is φ = 529535808.

The previous prime is 2028953291. The next prime is 2028953341. The reversal of 2028953340 is 433598202.

2028953340 is a `hidden beast` number, since 2 + 0 + 2 + 89 + 533 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2028953295 and 2028953304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028953341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14592 + ... + 65351.

It is an arithmetic number, because the mean of its divisors is an integer number (67152960).

Almost surely, 2^2028953340 is an apocalyptic number.

2028953340 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 2028953340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223342080).

2028953340 is an abundant number, since it is smaller than the sum of its proper divisors (4417730820).

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

2028953340 is a wasteful number, since it uses less digits than its factorization.

2028953340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80008 (or 80000 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2028953340 is about 45043.9045820852. The cubic root of 2028953340 is about 1265.9717655032.

The spelling of 2028953340 in words is "two billion, twenty-eight million, nine hundred fifty-three thousand, three hundred forty".