2118876157440 has 1440 divisors, whose sum is σ = 9245614894560. Its totient is φ = 458559553536.

The previous prime is 2118876157403. The next prime is 2118876157469. The reversal of 2118876157440 is 447516788112.

It is a happy number.

2118876157440 is a `hidden beast` number, since 2 + 1 + 1 + 8 + 8 + 7 + 61 + 574 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1222662814 + ... + 1222664546.

It is an arithmetic number, because the mean of its divisors is an integer number (6420565899).

Almost surely, 2^{2118876157440} is an apocalyptic number.

2118876157440 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 2118876157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622807447280).

2118876157440 is an abundant number, since it is smaller than the sum of its proper divisors (7126738737120).

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

2118876157440 is a wasteful number, since it uses less digits than its factorization.

2118876157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 2118876157440 in words is "two trillion, one hundred eighteen billion, eight hundred seventy-six million, one hundred fifty-seven thousand, four hundred forty".