2000451485760 has 672 divisors, whose sum is σ = 7874660643840. Its totient is φ = 421291892736.

The previous prime is 2000451485749. The next prime is 2000451485789. The reversal of 2000451485760 is 675841540002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2000451485760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 775668151 + ... + 775670729.

Almost surely, 2^{2000451485760} is an apocalyptic number.

2000451485760 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 2000451485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937330321920).

2000451485760 is an abundant number, since it is smaller than the sum of its proper divisors (5874209158080).

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

2000451485760 is a wasteful number, since it uses less digits than its factorization.

2000451485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 2000451485760 in words is "two trillion, four hundred fifty-one million, four hundred eighty-five thousand, seven hundred sixty".