2391878160 has 600 divisors, whose sum is σ = 10016430336. Its totient is φ = 529079040.

The previous prime is 2391878149. The next prime is 2391878161. The reversal of 2391878160 is 618781932.

It is a super-2 number, since 2×2391878160² = 11442162264569971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2391878161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 77157345 + ... + 77157375.

Almost surely, 2^2391878160 is an apocalyptic number.

2391878160 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 2391878160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008215168).

2391878160 is an abundant number, since it is smaller than the sum of its proper divisors (7624552176).

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

2391878160 is an frugal number, since it uses more digits than its factorization.

2391878160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2391878160 is about 48906.8314246589. The cubic root of 2391878160 is about 1337.3539079377.

The spelling of 2391878160 in words is "two billion, three hundred ninety-one million, eight hundred seventy-eight thousand, one hundred sixty".