2077462200960 has 1024 divisors, whose sum is σ = 8557581312000. Its totient is φ = 472454332416.

The previous prime is 2077462200899. The next prime is 2077462200991. The reversal of 2077462200960 is 690022647702.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128365029 + ... + 128381211.

It is an arithmetic number, because the mean of its divisors is an integer number (8357013000).

Almost surely, 2^{2077462200960} is an apocalyptic number.

2077462200960 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 2077462200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278790656000).

2077462200960 is an abundant number, since it is smaller than the sum of its proper divisors (6480119111040).

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

2077462200960 is a wasteful number, since it uses less digits than its factorization.

2077462200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16270 (or 16252 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 2077462200960 in words is "two trillion, seventy-seven billion, four hundred sixty-two million, two hundred thousand, nine hundred sixty".