2629394040 has 768 divisors, whose sum is σ = 11060582400. Its totient is φ = 485388288.

The previous prime is 2629394039. The next prime is 2629394041. The reversal of 2629394040 is 404939262.

It is an interprime number because it is at equal distance from previous prime (2629394039) and next prime (2629394041).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2629394040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2629394041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90668746 + ... + 90668774.

It is an arithmetic number, because the mean of its divisors is an integer number (14401800).

Almost surely, 2^2629394040 is an apocalyptic number.

2629394040 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 2629394040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530291200).

2629394040 is an abundant number, since it is smaller than the sum of its proper divisors (8431188360).

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

2629394040 is a wasteful number, since it uses less digits than its factorization.

2629394040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 2629394040 is about 51277.6173393421. The cubic root of 2629394040 is about 1380.2313621753.

The spelling of 2629394040 in words is "two billion, six hundred twenty-nine million, three hundred ninety-four thousand, forty".