2628149040 has 360 divisors, whose sum is σ = 9833058144. Its totient is φ = 628531200.

The previous prime is 2628149009. The next prime is 2628149053. The reversal of 2628149040 is 409418262.

2628149040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 2628148986 and 2628149004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8450485 + ... + 8450795.

Almost surely, 2^2628149040 is an apocalyptic number.

2628149040 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 2628149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916529072).

2628149040 is an abundant number, since it is smaller than the sum of its proper divisors (7204909104).

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

2628149040 is a wasteful number, since it uses less digits than its factorization.

2628149040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2628149040 is about 51265.4761023440. The cubic root of 2628149040 is about 1380.0134844303.

The spelling of 2628149040 in words is "two billion, six hundred twenty-eight million, one hundred forty-nine thousand, forty".