2671025040 has 240 divisors, whose sum is σ = 9702021888. Its totient is φ = 655970304.

The previous prime is 2671025039. The next prime is 2671025059. The reversal of 2671025040 is 405201762.

2671025040 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 (240).

It is a junction number, because it is equal to n+sod(n) for n = 2671024995 and 2671025013.

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, 572959 + ... + 577601.

Almost surely, 2^2671025040 is an apocalyptic number.

2671025040 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 2671025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851010944).

2671025040 is an abundant number, since it is smaller than the sum of its proper divisors (7030996848).

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

2671025040 is a wasteful number, since it uses less digits than its factorization.

2671025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2671025040 is about 51681.9604891301. The cubic root of 2671025040 is about 1387.4776193127.

The spelling of 2671025040 in words is "two billion, six hundred seventy-one million, twenty-five thousand, forty".