2121707562480 has 960 divisors, whose sum is σ = 8092840025088. Its totient is φ = 493762314240.

The previous prime is 2121707562433. The next prime is 2121707562497. The reversal of 2121707562480 is 842657071212.

2121707562480 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 7 + 0 + 7 + 562 + 4 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4356688797 + ... + 4356689283.

Almost surely, 2^{2121707562480} is an apocalyptic number.

2121707562480 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 2121707562480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046420012544).

2121707562480 is an abundant number, since it is smaller than the sum of its proper divisors (5971132462608).

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

2121707562480 is a wasteful number, since it uses less digits than its factorization.

2121707562480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 2121707562480 in words is "two trillion, one hundred twenty-one billion, seven hundred seven million, five hundred sixty-two thousand, four hundred eighty".