2429659952640 has 240 divisors, whose sum is σ = 8466232130928. Its totient is φ = 643933421568.

The previous prime is 2429659952639. The next prime is 2429659952641. The reversal of 2429659952640 is 462599569242.

It is a happy number.

2429659952640 is a `hidden beast` number, since 2 + 4 + 2 + 9 + 65 + 9 + 9 + 526 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2429659952639) and next prime (2429659952641).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429659952641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3432042 + ... + 4078998.

Almost surely, 2^{2429659952640} is an apocalyptic number.

2429659952640 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 2429659952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233116065464).

2429659952640 is an abundant number, since it is smaller than the sum of its proper divisors (6036572178288).

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

2429659952640 is a wasteful number, since it uses less digits than its factorization.

2429659952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647149 (or 647130 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 2429659952640 in words is "two trillion, four hundred twenty-nine billion, six hundred fifty-nine million, nine hundred fifty-two thousand, six hundred forty".