2400676229952 has 1680 divisors, whose sum is σ = 9633656323200. Its totient is φ = 563305881600.

The previous prime is 2400676229909. The next prime is 2400676229977. The reversal of 2400676229952 is 2599226760042.

2400676229952 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 6 + 7 + 622 + 9 + 9 + 5 + 2 = 666.

It is a super-6 number, since 6×2400676229952⁶ (a number of 76 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12063699549 + ... + 12063699747.

It is an arithmetic number, because the mean of its divisors is an integer number (5734319240).

Almost surely, 2^{2400676229952} is an apocalyptic number.

2400676229952 is a gapful number since it is divisible by the number (22) 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 2400676229952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816828161600).

2400676229952 is an abundant number, since it is smaller than the sum of its proper divisors (7232980093248).

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

2400676229952 is a wasteful number, since it uses less digits than its factorization.

2400676229952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2400676229952 in words is "two trillion, four hundred billion, six hundred seventy-six million, two hundred twenty-nine thousand, nine hundred fifty-two".