2629376640 has 768 divisors, whose sum is σ = 10826524800. Its totient is φ = 603832320.

The previous prime is 2629376593. The next prime is 2629376641. The reversal of 2629376640 is 466739262.

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 (2629376641) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 49610854 + ... + 49610906.

Almost surely, 2^2629376640 is an apocalyptic number.

2629376640 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 2629376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413262400).

2629376640 is an abundant number, since it is smaller than the sum of its proper divisors (8197148160).

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

2629376640 is a wasteful number, since it uses less digits than its factorization.

2629376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2629376640 is about 51277.4476743919. The cubic root of 2629376640 is about 1380.2283176109.

The spelling of 2629376640 in words is "two billion, six hundred twenty-nine million, three hundred seventy-six thousand, six hundred forty".