2634353040 has 320 divisors, whose sum is σ = 9706521600. Its totient is φ = 583833600.

The previous prime is 2634352993. The next prime is 2634353053. The reversal of 2634353040 is 403534362.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2634352989 and 2634353007.

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 63 ways as a sum of consecutive naturals, for example, 1453735 + ... + 1455545.

It is an arithmetic number, because the mean of its divisors is an integer number (30332880).

Almost surely, 2^2634353040 is an apocalyptic number.

2634353040 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 2634353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853260800).

2634353040 is an abundant number, since it is smaller than the sum of its proper divisors (7072168560).

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

2634353040 is a wasteful number, since it uses less digits than its factorization.

2634353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 2634353040 is about 51325.9489926879. The cubic root of 2634353040 is about 1381.0985162045.

The spelling of 2634353040 in words is "two billion, six hundred thirty-four million, three hundred fifty-three thousand, forty".