2078253000 has 288 divisors, whose sum is σ = 7306823160. Its totient is φ = 532396800.

The previous prime is 2078252959. The next prime is 2078253011. The reversal of 2078253000 is 3528702.

It can be written as a sum of positive squares in 4 ways, for example, as 1069682436 + 1008570564 = 32706^2 + 31758^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26306961 + ... + 26307039.

Almost surely, 2^2078253000 is an apocalyptic number.

2078253000 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 2078253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653411580).

2078253000 is an abundant number, since it is smaller than the sum of its proper divisors (5228570160).

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

2078253000 is a wasteful number, since it uses less digits than its factorization.

2078253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2078253000 is about 45587.8602261611. The cubic root of 2078253000 is about 1276.1433803433.

The spelling of 2078253000 in words is "two billion, seventy-eight million, two hundred fifty-three thousand".