2135277002880 has 1536 divisors, whose sum is σ = 9215537909760. Its totient is φ = 461899874304.

The previous prime is 2135277002867. The next prime is 2135277002897. The reversal of 2135277002880 is 882007725312.

2135277002880 is a `hidden beast` number, since 21 + 3 + 527 + 7 + 0 + 0 + 28 + 80 = 666.

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

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, 2679142642 + ... + 2679143438.

It is an arithmetic number, because the mean of its divisors is an integer number (5999699160).

Almost surely, 2^{2135277002880} is an apocalyptic number.

2135277002880 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 2135277002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607768954880).

2135277002880 is an abundant number, since it is smaller than the sum of its proper divisors (7080260906880).

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

2135277002880 is a wasteful number, since it uses less digits than its factorization.

2135277002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 944 counting only the distinct ones).

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

The spelling of 2135277002880 in words is "two trillion, one hundred thirty-five billion, two hundred seventy-seven million, two thousand, eight hundred eighty".