2429352415044 has 135 divisors (see below), whose sum is σ = 6409353027693. Its totient is φ = 802386842400.

The previous prime is 2429352415027. The next prime is 2429352415051. The reversal of 2429352415044 is 4405142539242.

The square root of 2429352415044 is 1558638.

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

2429352415044 is a `hidden beast` number, since 2 + 4 + 2 + 93 + 52 + 4 + 1 + 504 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1928937655044 + 500414760000 = 1388862^2 + 707400^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3675268074 + ... + 3675268734.

Almost surely, 2^{2429352415044} is an apocalyptic number.

2429352415044 is the 1558638-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429352415044

2429352415044 is an abundant number, since it is smaller than the sum of its proper divisors (3980000612649).

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

2429352415044 is an frugal number, since it uses more digits than its factorization.

2429352415044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2429352415044 in words is "two trillion, four hundred twenty-nine billion, three hundred fifty-two million, four hundred fifteen thousand, forty-four".