2626457040 has 120 divisors (see below), whose sum is σ = 8858004480. Its totient is φ = 697412352.

The previous prime is 2626457023. The next prime is 2626457047. The reversal of 2626457040 is 407546262.

2626457040 is a `hidden beast` number, since 2 + 6 + 2 + 645 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2626456986 and 2626457004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2626457047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164449 + ... + 179711.

It is an arithmetic number, because the mean of its divisors is an integer number (73816704).

Almost surely, 2^2626457040 is an apocalyptic number.

2626457040 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 2626457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429002240).

2626457040 is an abundant number, since it is smaller than the sum of its proper divisors (6231547440).

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

2626457040 is a wasteful number, since it uses less digits than its factorization.

2626457040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15521 (or 15512 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2626457040 is about 51248.9711116233. The cubic root of 2626457040 is about 1379.7172703717.

The spelling of 2626457040 in words is "two billion, six hundred twenty-six million, four hundred fifty-seven thousand, forty".