2042510552040 has 256 divisors, whose sum is σ = 7258645094400. Its totient is φ = 450105993216.

The previous prime is 2042510552039. The next prime is 2042510552057. The reversal of 2042510552040 is 402550152402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2042510551989 and 2042510552007.

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, 2259076 + ... + 3031244.

It is an arithmetic number, because the mean of its divisors is an integer number (28354082400).

Almost surely, 2^{2042510552040} is an apocalyptic number.

2042510552040 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 2042510552040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629322547200).

2042510552040 is an abundant number, since it is smaller than the sum of its proper divisors (5216134542360).

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

2042510552040 is a wasteful number, since it uses less digits than its factorization.

2042510552040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772304 (or 772300 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 2042510552040 in words is "two trillion, forty-two billion, five hundred ten million, five hundred fifty-two thousand, forty".