2442690000 has 400 divisors, whose sum is σ = 8948385600. Its totient is φ = 637632000.

The previous prime is 2442689993. The next prime is 2442690001. The reversal of 2442690000 is 962442.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×2442690000² = 11933468872200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442690001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22409946 + ... + 22410054.

It is an arithmetic number, because the mean of its divisors is an integer number (22370964).

Almost surely, 2^2442690000 is an apocalyptic number.

2442690000 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 2442690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474192800).

2442690000 is an abundant number, since it is smaller than the sum of its proper divisors (6505695600).

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

2442690000 is a wasteful number, since it uses less digits than its factorization.

2442690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2442690000 is about 49423.5773695106. The cubic root of 2442690000 is about 1346.7576510541.

The spelling of 2442690000 in words is "two billion, four hundred forty-two million, six hundred ninety thousand".