2629401152 has 336 divisors, whose sum is σ = 6971678208. Its totient is φ = 975421440.

The previous prime is 2629401107. The next prime is 2629401233. The reversal of 2629401152 is 2511049262.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61148843 + ... + 61148885.

Almost surely, 2^2629401152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2629401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485839104).

2629401152 is an abundant number, since it is smaller than the sum of its proper divisors (4342277056).

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

2629401152 is a wasteful number, since it uses less digits than its factorization.

2629401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2629401152 is about 51277.6866872912. The cubic root of 2629401152 is about 1380.2326065934.

The spelling of 2629401152 in words is "two billion, six hundred twenty-nine million, four hundred one thousand, one hundred fifty-two".