2072514300 has 288 divisors, whose sum is σ = 6712903680. Its totient is φ = 491443200.

The previous prime is 2072514293. The next prime is 2072514329. The reversal of 2072514300 is 34152702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6537742 + ... + 6538058.

Almost surely, 2^2072514300 is an apocalyptic number.

2072514300 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 2072514300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356451840).

2072514300 is an abundant number, since it is smaller than the sum of its proper divisors (4640389380).

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

2072514300 is a wasteful number, since it uses less digits than its factorization.

2072514300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2072514300 is about 45524.8756176225. The cubic root of 2072514300 is about 1274.9676885314.

The spelling of 2072514300 in words is "two billion, seventy-two million, five hundred fourteen thousand, three hundred".