2028978000 has 240 divisors, whose sum is σ = 8099410176. Its totient is φ = 463737600.

The previous prime is 2028977981. The next prime is 2028978037. The reversal of 2028978000 is 8798202.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117949 + ... + 134051.

Almost surely, 2^2028978000 is an apocalyptic number.

2028978000 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 2028978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049705088).

2028978000 is an abundant number, since it is smaller than the sum of its proper divisors (6070432176).

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

2028978000 is a wasteful number, since it uses less digits than its factorization.

2028978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16139 (or 16120 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2028978000 is about 45044.1783141840. The cubic root of 2028978000 is about 1265.9768943770.

It can be divided in two parts, 20289 and 78000, that added together give a palindrome (98289).

The spelling of 2028978000 in words is "two billion, twenty-eight million, nine hundred seventy-eight thousand".