2030486400 has 384 divisors, whose sum is σ = 7558444800. Its totient is φ = 532224000.

The previous prime is 2030486387. The next prime is 2030486413. The reversal of 2030486400 is 46840302.

It is an interprime number because it is at equal distance from previous prime (2030486387) and next prime (2030486413).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 6134235 + ... + 6134565.

It is an arithmetic number, because the mean of its divisors is an integer number (19683450).

Almost surely, 2^2030486400 is an apocalyptic number.

2030486400 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 2030486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779222400).

2030486400 is an abundant number, since it is smaller than the sum of its proper divisors (5527958400).

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

2030486400 is a wasteful number, since it uses less digits than its factorization.

2030486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2030486400 is about 45060.9187656000. The cubic root of 2030486400 is about 1266.2905377525.

The spelling of 2030486400 in words is "two billion, thirty million, four hundred eighty-six thousand, four hundred".