2142088139520 has 432 divisors, whose sum is σ = 8842495828320. Its totient is φ = 489619759104.

The previous prime is 2142088139507. The next prime is 2142088139533. The reversal of 2142088139520 is 259318802412.

2142088139520 is a `hidden beast` number, since 2 + 1 + 42 + 0 + 8 + 81 + 3 + 9 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (2142088139507) and next prime (2142088139533).

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1060974 + ... + 2325906.

Almost surely, 2^{2142088139520} is an apocalyptic number.

2142088139520 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 2142088139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421247914160).

2142088139520 is an abundant number, since it is smaller than the sum of its proper divisors (6700407688800).

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

2142088139520 is a wasteful number, since it uses less digits than its factorization.

2142088139520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264977 (or 1264950 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2142088139520 in words is "two trillion, one hundred forty-two billion, eighty-eight million, one hundred thirty-nine thousand, five hundred twenty".