2070684000 has 960 divisors, whose sum is σ = 9589612032. Its totient is φ = 425088000.

The previous prime is 2070683999. The next prime is 2070684023. The reversal of 2070684000 is 4860702.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24947959 + ... + 24948041.

Almost surely, 2^2070684000 is an apocalyptic number.

2070684000 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 2070684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794806016).

2070684000 is an abundant number, since it is smaller than the sum of its proper divisors (7518928032).

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

2070684000 is a wasteful number, since it uses less digits than its factorization.

2070684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2070684000 is about 45504.7689808442. The cubic root of 2070684000 is about 1274.5922571617.

The spelling of 2070684000 in words is "two billion, seventy million, six hundred eighty-four thousand".