2638898304 has 384 divisors, whose sum is σ = 8818022400. Its totient is φ = 684343296.

The previous prime is 2638898299. The next prime is 2638898309. The reversal of 2638898304 is 4038988362.

It is an interprime number because it is at equal distance from previous prime (2638898299) and next prime (2638898309).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (2638898309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33403737 + ... + 33403815.

It is an arithmetic number, because the mean of its divisors is an integer number (22963600).

Almost surely, 2^2638898304 is an apocalyptic number.

2638898304 is a gapful number since it is divisible by the number (24) 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 2638898304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409011200).

2638898304 is an abundant number, since it is smaller than the sum of its proper divisors (6179124096).

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

2638898304 is a wasteful number, since it uses less digits than its factorization.

2638898304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 2638898304 is about 51370.2083312887. The cubic root of 2638898304 is about 1381.8923670908.

The spelling of 2638898304 in words is "two billion, six hundred thirty-eight million, eight hundred ninety-eight thousand, three hundred four".