2623629040 has 80 divisors (see below), whose sum is σ = 6473558880. Its totient is φ = 985456640.

The previous prime is 2623629037. The next prime is 2623629059. The reversal of 2623629040 is 409263262.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2623628987 and 2623629005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665796 + ... + 669724.

It is an arithmetic number, because the mean of its divisors is an integer number (80919486).

Almost surely, 2^2623629040 is an apocalyptic number.

2623629040 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 2623629040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236779440).

2623629040 is an abundant number, since it is smaller than the sum of its proper divisors (3849929840).

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

2623629040 is a wasteful number, since it uses less digits than its factorization.

2623629040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 2623629040 is about 51221.3728828113. The cubic root of 2623629040 is about 1379.2218955966.

The spelling of 2623629040 in words is "two billion, six hundred twenty-three million, six hundred twenty-nine thousand, forty".