2120915773440 has 1152 divisors, whose sum is σ = 7984738944000. Its totient is φ = 519304642560.

The previous prime is 2120915773357. The next prime is 2120915773513. The reversal of 2120915773440 is 443775190212.

2120915773440 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 9 + 1 + 577 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 6077122386 + ... + 6077122734.

It is an arithmetic number, because the mean of its divisors is an integer number (6931197000).

Almost surely, 2^{2120915773440} is an apocalyptic number.

2120915773440 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 2120915773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992369472000).

2120915773440 is an abundant number, since it is smaller than the sum of its proper divisors (5863823170560).

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

2120915773440 is a wasteful number, since it uses less digits than its factorization.

2120915773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2120915773440 in words is "two trillion, one hundred twenty billion, nine hundred fifteen million, seven hundred seventy-three thousand, four hundred forty".