1999762720 has 48 divisors (see below), whose sum is σ = 4741600248. Its totient is φ = 796999680.

The previous prime is 1999762703. The next prime is 1999762727. The reversal of 1999762720 is 272679991.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 698862096 + 1300900624 = 26436^2 + 36068^2 .

It is a super-3 number, since 3×1999762720³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1999762727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21760 + ... + 66880.

Almost surely, 2^1999762720 is an apocalyptic number.

1999762720 is a gapful number since it is divisible by the number (10) 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 1999762720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370800124).

1999762720 is an abundant number, since it is smaller than the sum of its proper divisors (2741837528).

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

1999762720 is a wasteful number, since it uses less digits than its factorization.

1999762720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45413 (or 45405 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 52.

The square root of 1999762720 is about 44718.7066002585. The cubic root of 1999762720 is about 1259.8712222465.

The spelling of 1999762720 in words is "one billion, nine hundred ninety-nine million, seven hundred sixty-two thousand, seven hundred twenty".