2051430000 has 400 divisors, whose sum is σ = 7205193600. Its totient is φ = 501120000.

The previous prime is 2051429959. The next prime is 2051430041. The reversal of 2051430000 is 341502.

It is an interprime number because it is at equal distance from previous prime (2051429959) and next prime (2051430041).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33629970 + ... + 33630030.

It is an arithmetic number, because the mean of its divisors is an integer number (18012984).

Almost surely, 2^2051430000 is an apocalyptic number.

2051430000 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 2051430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602596800).

2051430000 is an abundant number, since it is smaller than the sum of its proper divisors (5153763600).

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

2051430000 is a wasteful number, since it uses less digits than its factorization.

2051430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2051430000 is about 45292.7146459560. The cubic root of 2051430000 is about 1270.6294026139.

Adding to 2051430000 its reverse (341502), we get a palindrome (2051771502).

The spelling of 2051430000 in words is "two billion, fifty-one million, four hundred thirty thousand".