2120040515034 has 192 divisors, whose sum is σ = 5153803200000. Its totient is φ = 625354877952.

The previous prime is 2120040515011. The next prime is 2120040515051. The reversal of 2120040515034 is 4305150400212.

2120040515034 is a `hidden beast` number, since 2 + 1 + 200 + 405 + 1 + 50 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2120040514989 and 2120040515007.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 614680942 + ... + 614684390.

It is an arithmetic number, because the mean of its divisors is an integer number (26842725000).

Almost surely, 2^{2120040515034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120040515034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576901600000).

2120040515034 is an abundant number, since it is smaller than the sum of its proper divisors (3033762684966).

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

2120040515034 is a wasteful number, since it uses less digits than its factorization.

2120040515034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 2120040515034 its reverse (4305150400212), we get a palindrome (6425190915246).

The spelling of 2120040515034 in words is "two trillion, one hundred twenty billion, forty million, five hundred fifteen thousand, thirty-four".