2652010042080 has 288 divisors, whose sum is σ = 9738841986720. Its totient is φ = 604856340480.

The previous prime is 2652010042067. The next prime is 2652010042111. The reversal of 2652010042080 is 802400102562.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 10720426 + ... + 10965014.

It is an arithmetic number, because the mean of its divisors is an integer number (33815423565).

Almost surely, 2^{2652010042080} is an apocalyptic number.

2652010042080 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 2652010042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869420993360).

2652010042080 is an abundant number, since it is smaller than the sum of its proper divisors (7086831944640).

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

2652010042080 is a wasteful number, since it uses less digits than its factorization.

2652010042080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245082 (or 245067 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 2652010042080 in words is "two trillion, six hundred fifty-two billion, ten million, forty-two thousand, eighty".