2042329925376 has 1080 divisors, whose sum is σ = 7155482995584. Its totient is φ = 575279677440.

The previous prime is 2042329925359. The next prime is 2042329925381. The reversal of 2042329925376 is 6735299232402.

2042329925376 is a `hidden beast` number, since 2 + 0 + 4 + 232 + 99 + 253 + 76 = 666.

It is a super-2 number, since 2×2042329925376² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3016735150 + ... + 3016735826.

Almost surely, 2^{2042329925376} is an apocalyptic number.

2042329925376 is a gapful number since it is divisible by the number (26) 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 2042329925376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577741497792).

2042329925376 is an abundant number, since it is smaller than the sum of its proper divisors (5113153070208).

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

2042329925376 is a wasteful number, since it uses less digits than its factorization.

2042329925376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 2042329925376 in words is "two trillion, forty-two billion, three hundred twenty-nine million, nine hundred twenty-five thousand, three hundred seventy-six".