2634378240 has 352 divisors, whose sum is σ = 9243924480. Its totient is φ = 636420096.

The previous prime is 2634378223. The next prime is 2634378277. The reversal of 2634378240 is 428734362.

It is a super-2 number, since 2×2634378240² = 13879897422770995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15774637 + ... + 15774803.

Almost surely, 2^2634378240 is an apocalyptic number.

2634378240 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 2634378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621962240).

2634378240 is an abundant number, since it is smaller than the sum of its proper divisors (6609546240).

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

2634378240 is a wasteful number, since it uses less digits than its factorization.

2634378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 2634378240 is about 51326.1944819602. The cubic root of 2634378240 is about 1381.1029200146.

The spelling of 2634378240 in words is "two billion, six hundred thirty-four million, three hundred seventy-eight thousand, two hundred forty".