2429777226240 has 640 divisors, whose sum is σ = 10622515115520. Its totient is φ = 512654966784.

The previous prime is 2429777226229. The next prime is 2429777226263. The reversal of 2429777226240 is 426227779242.

2429777226240 is a `hidden beast` number, since 2 + 4 + 2 + 9 + 7 + 7 + 7 + 2 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6096772 + ... + 6483068.

It is an arithmetic number, because the mean of its divisors is an integer number (16597679868).

Almost surely, 2^{2429777226240} is an apocalyptic number.

2429777226240 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 2429777226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311257557760).

2429777226240 is an abundant number, since it is smaller than the sum of its proper divisors (8192737889280).

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

2429777226240 is a wasteful number, since it uses less digits than its factorization.

2429777226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386349 (or 386327 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 2429777226240 in words is "two trillion, four hundred twenty-nine billion, seven hundred seventy-seven million, two hundred twenty-six thousand, two hundred forty".