2634494400 has 252 divisors, whose sum is σ = 9857460600. Its totient is φ = 665487360.

The previous prime is 2634494393. The next prime is 2634494411. The reversal of 2634494400 is 44944362.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268786 + ... + 278414.

Almost surely, 2^2634494400 is an apocalyptic number.

2634494400 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 2634494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928730300).

2634494400 is an abundant number, since it is smaller than the sum of its proper divisors (7222966200).

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

2634494400 is a wasteful number, since it uses less digits than its factorization.

2634494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 9658 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2634494400 is about 51327.3260554259. The cubic root of 2634494400 is about 1381.1232191191.

The spelling of 2634494400 in words is "two billion, six hundred thirty-four million, four hundred ninety-four thousand, four hundred".