2428692610890 has 256 divisors, whose sum is σ = 7334193807360. Its totient is φ = 501006504960.

The previous prime is 2428692610879. The next prime is 2428692610901. The reversal of 2428692610890 is 980162968242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2428692610879) and next prime (2428692610901).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2428692610890.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130995241 + ... + 131013779.

It is an arithmetic number, because the mean of its divisors is an integer number (28649194560).

Almost surely, 2^{2428692610890} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428692610890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667096903680).

2428692610890 is an abundant number, since it is smaller than the sum of its proper divisors (4905501196470).

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

2428692610890 is a wasteful number, since it uses less digits than its factorization.

2428692610890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19637.

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 2428692610890 in words is "two trillion, four hundred twenty-eight billion, six hundred ninety-two million, six hundred ten thousand, eight hundred ninety".