2427769890 has 192 divisors, whose sum is σ = 7806419712. Its totient is φ = 509760000.

The previous prime is 2427769873. The next prime is 2427769891. The reversal of 2427769890 is 989677242.

It is a super-2 number, since 2×2427769890² = 11788133277581224200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2427769891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2055100 + ... + 2056280.

It is an arithmetic number, because the mean of its divisors is an integer number (40658436).

Almost surely, 2^2427769890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2427769890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903209856).

2427769890 is an abundant number, since it is smaller than the sum of its proper divisors (5378649822).

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

2427769890 is a wasteful number, since it uses less digits than its factorization.

2427769890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 2427769890 is about 49272.4049544976. The cubic root of 2427769890 is about 1344.0100213166.

The spelling of 2427769890 in words is "two billion, four hundred twenty-seven million, seven hundred sixty-nine thousand, eight hundred ninety".