2028970944 has 1120 divisors, whose sum is σ = 8922203136. Its totient is φ = 437944320.

The previous prime is 2028970913. The next prime is 2028970981. The reversal of 2028970944 is 4490798202.

It is a super-2 number, since 2×2028970944² = 8233446183192502272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2028970944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88216117 + ... + 88216139.

Almost surely, 2^2028970944 is an apocalyptic number.

2028970944 is a gapful number since it is divisible by the number (24) 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 2028970944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461101568).

2028970944 is an abundant number, since it is smaller than the sum of its proper divisors (6893232192).

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

2028970944 is a wasteful number, since it uses less digits than its factorization.

2028970944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2028970944 is about 45044.0999910088. The cubic root of 2028970944 is about 1265.9754268495.

The spelling of 2028970944 in words is "two billion, twenty-eight million, nine hundred seventy thousand, nine hundred forty-four".