2024945150976 has 264 divisors, whose sum is σ = 6382128477504. Its totient is φ = 613273559040.

The previous prime is 2024945150957. The next prime is 2024945151007. The reversal of 2024945150976 is 6790515494202.

It is a happy number.

2024945150976 is a `hidden beast` number, since 2 + 0 + 24 + 9 + 45 + 1 + 509 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×2024945150976² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223326795 + ... + 223335861.

Almost surely, 2^{2024945150976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024945150976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191064238752).

2024945150976 is an abundant number, since it is smaller than the sum of its proper divisors (4357183326528).

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

2024945150976 is a wasteful number, since it uses less digits than its factorization.

2024945150976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11307 (or 11286 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2024945150976 in words is "two trillion, twenty-four billion, nine hundred forty-five million, one hundred fifty thousand, nine hundred seventy-six".