2668401540 has 144 divisors (see below), whose sum is σ = 9290211840. Its totient is φ = 607299840.

The previous prime is 2668401499. The next prime is 2668401551. The reversal of 2668401540 is 451048662.

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 = 2668401495 and 2668401504.

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, 296710 + ... + 305570.

It is an arithmetic number, because the mean of its divisors is an integer number (64515360).

Almost surely, 2^2668401540 is an apocalyptic number.

2668401540 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 2668401540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645105920).

2668401540 is an abundant number, since it is smaller than the sum of its proper divisors (6621810300).

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

2668401540 is a wasteful number, since it uses less digits than its factorization.

2668401540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9122 (or 9117 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2668401540 is about 51656.5730570660. The cubic root of 2668401540 is about 1387.0232070065.

The spelling of 2668401540 in words is "two billion, six hundred sixty-eight million, four hundred one thousand, five hundred forty".