2626749440 has 88 divisors (see below), whose sum is σ = 7201378752. Its totient is φ = 900587520.

The previous prime is 2626749421. The next prime is 2626749457. The reversal of 2626749440 is 449476262.

It is a junction number, because it is equal to n+sod(n) for n = 2626749391 and 2626749400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 806 + ... + 72485.

Almost surely, 2^2626749440 is an apocalyptic number.

2626749440 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 2626749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600689376).

2626749440 is an abundant number, since it is smaller than the sum of its proper divisors (4574629312).

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

2626749440 is an equidigital number, since it uses as much as digits as its factorization.

2626749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73323 (or 73305 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The square root of 2626749440 is about 51251.8237724278. The cubic root of 2626749440 is about 1379.7684691734.

The spelling of 2626749440 in words is "two billion, six hundred twenty-six million, seven hundred forty-nine thousand, four hundred forty".