2442952512 has 672 divisors, whose sum is σ = 9940869120. Its totient is φ = 552407040.

The previous prime is 2442952483. The next prime is 2442952541. The reversal of 2442952512 is 2152592442.

It is an interprime number because it is at equal distance from previous prime (2442952483) and next prime (2442952541).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2442952512² = 11936033951774220288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10954833 + ... + 10955055.

It is an arithmetic number, because the mean of its divisors is an integer number (14792960).

Almost surely, 2^2442952512 is an apocalyptic number.

2442952512 is a gapful number since it is divisible by the number (22) 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 2442952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970434560).

2442952512 is an abundant number, since it is smaller than the sum of its proper divisors (7497916608).

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

2442952512 is a wasteful number, since it uses less digits than its factorization.

2442952512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 278 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2442952512 is about 49426.2330346952. The cubic root of 2442952512 is about 1346.8058939585.

The spelling of 2442952512 in words is "two billion, four hundred forty-two million, nine hundred fifty-two thousand, five hundred twelve".