1937920140 has 288 divisors, whose sum is σ = 6750569280. Its totient is φ = 463574016.

The previous prime is 1937920133. The next prime is 1937920147. The reversal of 1937920140 is 410297391.

It is an interprime number because it is at equal distance from previous prime (1937920133) and next prime (1937920147).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1937920095 and 1937920104.

It is not an unprimeable number, because it can be changed into a prime (1937920147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2337246 + ... + 2338074.

Almost surely, 2^1937920140 is an apocalyptic number.

1937920140 is a gapful number since it is divisible by the number (10) 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 1937920140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375284640).

1937920140 is an abundant number, since it is smaller than the sum of its proper divisors (4812649140).

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

1937920140 is a wasteful number, since it uses less digits than its factorization.

1937920140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1937920140 is about 44021.8143651531. The cubic root of 1937920140 is about 1246.7478426493.

The spelling of 1937920140 in words is "one billion, nine hundred thirty-seven million, nine hundred twenty thousand, one hundred forty".