2042670630000 has 1600 divisors, whose sum is σ = 8921572982784. Its totient is φ = 388800000000.

The previous prime is 2042670629971. The next prime is 2042670630023. The reversal of 2042670630000 is 360762402.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2042670630000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7537529865 + ... + 7537530135.

Almost surely, 2^{2042670630000} is an apocalyptic number.

2042670630000 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 2042670630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460786491392).

2042670630000 is an abundant number, since it is smaller than the sum of its proper divisors (6878902352784).

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

2042670630000 is a wasteful number, since it uses less digits than its factorization.

2042670630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 2042670630000 in words is "two trillion, forty-two billion, six hundred seventy million, six hundred thirty thousand".