2000783400 has 576 divisors, whose sum is σ = 8106147840. Its totient is φ = 399168000.

The previous prime is 2000783387. The next prime is 2000783423. The reversal of 2000783400 is 43870002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15754137 + ... + 15754263.

Almost surely, 2^2000783400 is an apocalyptic number.

2000783400 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 2000783400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053073920).

2000783400 is an abundant number, since it is smaller than the sum of its proper divisors (6105364440).

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

2000783400 is a wasteful number, since it uses less digits than its factorization.

2000783400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2000783400 is about 44730.1173707380. The cubic root of 2000783400 is about 1260.0855321126.

The spelling of 2000783400 in words is "two billion, seven hundred eighty-three thousand, four hundred".