2671520797440 has 2880 divisors, whose sum is σ = 11727193927680. Its totient is φ = 573308928000.

The previous prime is 2671520797423. The next prime is 2671520797487. The reversal of 2671520797440 is 447970251762.

2671520797440 is a `hidden beast` number, since 2 + 6 + 7 + 1 + 520 + 7 + 9 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 27541451472 + ... + 27541451568.

It is an arithmetic number, because the mean of its divisors is an integer number (4071942336).

Almost surely, 2^{2671520797440} is an apocalyptic number.

2671520797440 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 2671520797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863596963840).

2671520797440 is an abundant number, since it is smaller than the sum of its proper divisors (9055673130240).

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

2671520797440 is a wasteful number, since it uses less digits than its factorization.

2671520797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 2671520797440 in words is "two trillion, six hundred seventy-one billion, five hundred twenty million, seven hundred ninety-seven thousand, four hundred forty".