2137538335380 has 576 divisors, whose sum is σ = 7398632489472. Its totient is φ = 451516170240.

The previous prime is 2137538335367. The next prime is 2137538335393. The reversal of 2137538335380 is 835338357312.

It is an interprime number because it is at equal distance from previous prime (2137538335367) and next prime (2137538335393).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 2808854200 + ... + 2808854960.

It is an arithmetic number, because the mean of its divisors is an integer number (12844848072).

Almost surely, 2^{2137538335380} is an apocalyptic number.

2137538335380 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 2137538335380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699316244736).

2137538335380 is an abundant number, since it is smaller than the sum of its proper divisors (5261094154092).

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

2137538335380 is a wasteful number, since it uses less digits than its factorization.

2137538335380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 2137538335380 in words is "two trillion, one hundred thirty-seven billion, five hundred thirty-eight million, three hundred thirty-five thousand, three hundred eighty".