2629990440 has 384 divisors, whose sum is σ = 11285464320. Its totient is φ = 514252800.

The previous prime is 2629990411. The next prime is 2629990511. The reversal of 2629990440 is 440999262.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 468450 + ... + 474030.

It is an arithmetic number, because the mean of its divisors is an integer number (29389230).

Almost surely, 2^2629990440 is an apocalyptic number.

2629990440 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 2629990440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642732160).

2629990440 is an abundant number, since it is smaller than the sum of its proper divisors (8655473880).

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

2629990440 is a wasteful number, since it uses less digits than its factorization.

2629990440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2629990440 is about 51283.4324124273. The cubic root of 2629990440 is about 1380.3357091265.

The spelling of 2629990440 in words is "two billion, six hundred twenty-nine million, nine hundred ninety thousand, four hundred forty".