2664990950400 has 891 divisors, whose sum is σ = 10127141529141. Its totient is φ = 669499637760.

The previous prime is 2664990950387. The next prime is 2664990950417. The reversal of 2664990950400 is 40590994662.

It is a happy number.

The square root of 2664990950400 is 1632480.

It is a perfect power (a square), and thus also a powerful number.

2664990950400 is a `hidden beast` number, since 2 + 6 + 6 + 49 + 90 + 9 + 504 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 959396742144 + 1705594208256 = 979488^2 + 1305984^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14888217511 + ... + 14888217689.

Almost surely, 2^{2664990950400} is an apocalyptic number.

2664990950400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2664990950400 is the 1632480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664990950400

2664990950400 is an abundant number, since it is smaller than the sum of its proper divisors (7462150578741).

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

2664990950400 is a wasteful number, since it uses less digits than its factorization.

2664990950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 2664990950400 in words is "two trillion, six hundred sixty-four billion, nine hundred ninety million, nine hundred fifty thousand, four hundred".