2429120564640 has 1536 divisors, whose sum is σ = 10914478202880. Its totient is φ = 489900441600.

The previous prime is 2429120564579. The next prime is 2429120564657. The reversal of 2429120564640 is 464650219242.

It is a happy number.

2429120564640 is a `hidden beast` number, since 2 + 4 + 2 + 9 + 1 + 20 + 564 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3777792159 + ... + 3777792801.

It is an arithmetic number, because the mean of its divisors is an integer number (7105780080).

Almost surely, 2^{2429120564640} is an apocalyptic number.

2429120564640 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 2429120564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457239101440).

2429120564640 is an abundant number, since it is smaller than the sum of its proper divisors (8485357638240).

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

2429120564640 is a wasteful number, since it uses less digits than its factorization.

2429120564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2429120564640 in words is "two trillion, four hundred twenty-nine billion, one hundred twenty million, five hundred sixty-four thousand, six hundred forty".